Binomial special products review (article) | Khan Academy (2024)

A review of the difference of squares pattern(a+b)(a-b)=a^2-b^2, as well as other common patterns encountered while multiplying binomials, such as(a+b)^2=a^2+2ab+b^2.

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  • Omor Almamun

    7 years agoPosted 7 years ago. Direct link to Omor Almamun's post “What's the point of memor...”

    What's the point of memorizing these patterns? I think it's better just to solve the problems instead of memorizing some sort of pattern.

    (41 votes)

    • Kim Seidel

      7 years agoPosted 7 years ago. Direct link to Kim Seidel's post “For multiplication, you'r...”

      Binomial special products review (article) | Khan Academy (4)

      Binomial special products review (article) | Khan Academy (5)

      Binomial special products review (article) | Khan Academy (6)

      For multiplication, you're right... it can be just as easy to just multiply the binomials like any other binomials. However, learning the patterns will help you later when you learn how to:
      1) Factor polynomials
      2) Solve quadratic equations by completing the square
      3) Completing the square to work with equations for circles

      (94 votes)

  • Bianca

    7 years agoPosted 7 years ago. Direct link to Bianca's post “How would I cube a polyno...”

    How would I cube a polynomial?

    (17 votes)

  • cnitzel

    6 years agoPosted 6 years ago. Direct link to cnitzel's post “I'm studying for my teach...”

    I'm studying for my teacher certification, and just went through as many videos on polynomials as I could. On my practice test, there was a problem I hope to get explained. It read "(3+2i)(4+3i)" and the answer was "6+17i". How did the 6i^2 end up cancelled out and subtracting 6 as well? Very confused. Does it matter if the letters are after the constants in the problem?

    (12 votes)

    • Kim Seidel

      6 years agoPosted 6 years ago. Direct link to Kim Seidel's post “Remember, i = sqrt(-1)i^...”

      Binomial special products review (article) | Khan Academy (14)

      Remember, i = sqrt(-1)
      i^2 = sqrt(-1) * sqrt(-1) = -1
      Thus, 6i^2 = 6(-1) = -6
      Hope this helps.

      (20 votes)

  • phillip wollmann

    4 years agoPosted 4 years ago. Direct link to phillip wollmann's post “why do we need this if we...”

    why do we need this if we forget it when we are in our 40s

    (3 votes)

    • David Severin

      4 years agoPosted 4 years ago. Direct link to David Severin's post “I am in my 60s and I stil...”

      Binomial special products review (article) | Khan Academy (18)

      Binomial special products review (article) | Khan Academy (19)

      I am in my 60s and I still remember it, if you do not put any value on what you are learning, you may forget it in your 20s.

      (32 votes)

  • rh805331

    4 years agoPosted 4 years ago. Direct link to rh805331's post “if you solve enough of th...”

    if you solve enough of these, the answers start to jump out. The advantage is that you'll then have a pattern of understanding that will make future lessons easier.

    (16 votes)

  • Dado

    4 years agoPosted 4 years ago. Direct link to Dado's post “What would you do if you ...”

    What would you do if you were trying to do (8x-5)^5 and your calculator says: Overflow Error

    (8 votes)

    • timotime12

      4 years agoPosted 4 years ago. Direct link to timotime12's post “x can be any number, so t...”

      x can be any number, so the calculator doesn't know which number equals x, so x can be any number, so then the equation then can equal anything.
      If you wanted to put it in standard form, you would:
      see below.↓.Hope this helps.

      (8 votes)

  • lharty1323

    4 years agoPosted 4 years ago. Direct link to lharty1323's post “what is the best way to r...”

    what is the best way to remember how to add and subtract or multiple and divide negatives

    (4 votes)

    • Bill Zemon

      4 years agoPosted 4 years ago. Direct link to Bill Zemon's post “Like everything else in m...”

      Like everything else in mathematics, the key is practice. Instead of just memorizing the formula, if you solve enough of these, the answers start to jump out. The advantage is that you'll then have a pattern of understanding that will make future lessons easier.

      (4 votes)

  • Addie Ledbetter

    a year agoPosted a year ago. Direct link to Addie Ledbetter's post “I cant see the patterns! ...”

    I cant see the patterns! The only way I can solve these is by using the distributive property. Anyone else have this issue?

    (3 votes)

    • Timothy S. Moran

      a year agoPosted a year ago. Direct link to Timothy S. Moran's post “It will come with time as...”

      It will come with time as you continue to solve them by using the distributive property. When it does, you will just be able to solve them a little more quickly.

      (6 votes)

  • chris pratt lover

    a year agoPosted a year ago. Direct link to chris pratt lover's post “Is there an easier way to...”

    Is there an easier way to do this.

    (3 votes)

  • anson.lee

    2 years agoPosted 2 years ago. Direct link to anson.lee's post “How is this going to help...”

    How is this going to help us in real life, whether we are skilled or not skilled at this mathematics? I do like this but I don't know where this helps us?

    (3 votes)

Binomial special products review (article) | Khan Academy (2024)

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