What is (x + 3)(x + 5) expanded?
Every part of one binomial multiplies every part of the other. Four little products, then one tidy sum.
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1 lesson for “Multiplying binomials”
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Why do I multiply straight across?
Sam computed 1/2 * 2/3 and wrote 3/5. He added the top numbers and the bottom numbers, which is how you combine, not how you multiply.
Try this lessonWhat do two negatives in a row do?
Priya multiplied -3 by -4 and wrote -12. She remembered that negatives matter, but she got the rule backwards.
Try this lessonWhy do exponents add when I multiply?
Rafi computed 2^3 * 2^2 by multiplying the exponents: 3 * 2 = 6, so he wrote 2^6 = 64. The exponents should add.
Try this lessonWhy multiply everything inside the brackets?
If you multiplied the x but left the other number alone, you have found a useful place to pause. The outside number counts copies of the whole group.
Try this lessonWhere do the cross products come from?
Tess solved 6/10 = 30/x by computing 6 * 30 / 10 and got 18. The cross products were paired wrong.
Try this lessonWhy can't I just go left to right?
Jordan computed 3 + 4 * 5 by moving left to right: 3 + 4 = 7, then 7 * 5 = 35. The convention says multiply first.
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