Multiply x2 – 3x + 2 by x – 2.
Hint
Multiply everything out to get x3 – 2x2 – 3x2 + 6x + 2x – 4, then combine like terms.
Answer
x3 – 5x2 + 8x – 4
Multiply a – 2b – c by a – b + 2c.
A little distributive property action gets us to a2 – ab + 2ac – 2ab + 2b2 – 4bc – ac + bc – 2c2.
a2 – 3ab + ac + 2b2– 3bc – 2c2
Multiply m2 + mn + n2 by m2 – mn – n2.
Rewrite as m4 – m3n – m2n2 + m3n – m2n2 – mn3 + m2n2 – mn3 – n4, then lump all the like terms together.
m4 – m2n2 – 2mn3 – n4
Multiply (x – 3)(2x2 – 3x – 2).
Distribute to get 2x3 – 3x2 – 2x – 6x2 + 9x + 6.
2x3 – 9x2 + 7x + 6
Multiply x4 + x2 – 1 by x4 – x2 + 1.
After distributing, we get x8 – x6 + x4 + x6 – x4 + x2 – x4 + x2 – 1. The rest is up to you.
x8 – x4 + 2x2 – 1
Multiply (a2b2 + a2b2)(a2 – 2ab + b2).
Rewrite as a4b2 – 2a3b3 + a2b4 + a4b2 – 2a3b3 + a2b4.
2a4b2 – 4a3b3 + 2a2b4
Multiply and .
Remember that when terms with exponents are multiplied together, we add the exponents.
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