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Factoring 3
A
B
Result
. . . .

Choose your answer to each question.

1. Which is the completely factored form of x 6 − y 6 ?
(x−y)( x 2 +xy+ y 2 )
(x+y)( x 2 −xy+ y 2 )
( x 3 + y 3 )( x 3 − y 3 )
(x−y)(x+y) ( x 2 −xy+ y 2 ) 2
none of the choices
Answer: ( x − y ) ( x 2 + x y + y 2 ) ( x + y ) ( x 2 − x y + y 2 )
2. Which is equal to the area of the shaded region in the figure below?
(a−3) 2
(a+3)(a−3)
a 2 +6a+9
none of the choices
Answer: ( a + 3 ) ( a − 3 )
3. Which of the following is a true equation?
(ax−by) 2 =a x 2 −2axby+b y 2
(ax−by) 2 = a 2 x 2 −2axby− b 2 y 2
( a x + b y ) 2 = a x 2 + 2 a b x y + b y 2
(ax+by) 2 = a 2 x 2 +2abxy+ b 2 y 2
Answer: ( a x + b y ) 2 = a x 2 + 2 a b x y + b y 2
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