CPM Homework Help : A2C Problem 13-75

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Home > A2C > Chapter 13 > Lesson 13.1.4 > Problem 13-75

13-75.

Multiply the expressions in parts (a) through (d).

$\left(a + b\right)\left(a^{2} − ab + b^{2}\right)$
Answer (a):
a³ + b³

$\left(x − 2\right)\left(x^{2} + 2x + 4\right)$
Answer (b):
x³ − 8

$\left(y + 5\right)\left(y^{2} − 5y + 25\right)$
Hint (c):
See parts (a) and (b).

$\left(x − y\right)\left(x^{2} + xy + y^{2}\right)$
Hint (d):
See parts (a) and (b).

What did you notice about these products?
Hint (e):
What did they all have in common?
Make up another multiplication problem that will follow the same pattern.
Hint (f):
Substitute values into the expression in either part (a) or part (d).

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