### Home > INT3 > Chapter 8 > Lesson 8.3.3 > Problem8-135

8-135.

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

1. $( a + b ) ( a ^ { 2 } - a b + b ^ { 2 } )$

Use the Distributive Property to expand the expression.

1. $( x - 2 ) ( x ^ { 2 } + 2 x + 4 )$

Notice that this is the same problem from part (a), except instead of $a$ it has $x$ and instead of $b$ it has $−2$.

$x^{3} − 8$

1. $( y + 5 ) ( y ^ { 2 } - 5 y + 25 )$

See part (b).

$y^{3} + 125$

1. $( x - y ) ( x ^ { 2 } + x y + y ^ { 2 } )$

See part (b).

1. What did you notice about these products?

1. Make up another multiplication problem that follows the same pattern.