Use a special product pattern to find the product ( x − 8 ) 2 ( x - 8 ) ^ { 2 } ( x − 8 ) 2 .A) x 2 − 16 x + 64 x ^ { 2 } - 16 x + 64 x 2 − 16 x + 64 B) x 2 − 64 x ^ { 2 } - 64 x 2 − 64 C) x 2 + 64 x ^ { 2 } + 64 x 2 + 64 D) x 2 + 16 x + 64 x ^ { 2 } + 16 x + 64 x 2 + 16 x + 64 E) x 2 − 8 x + 64 x ^ { 2 } - 8 x + 64 x 2 − 8 x + 64

Question

Use a special product pattern to find the product   ( x − 8 )  2 ( x - 8 )  ^ { 2 } ( x − 8 )  2   .A)    x 2 − 16 x + 64 x ^ { 2 } - 16 x + 64 x 2 − 16 x + 64 B)    x 2 − 64 x ^ { 2 } - 64 x 2 − 64 C)    x 2 + 64 x ^ { 2 } + 64 x 2 + 64 D)    x 2 + 16 x + 64 x ^ { 2 } + 16 x + 64 x 2 + 16 x + 64 E)    x 2 − 8 x + 64 x ^ { 2 } - 8 x + 64 x 2 − 8 x + 64

William LeFort · Accepted Answer

Final Answer : A, Explanation :   The special product pattern for squaring a binomial   ( a − b ) 2 (a - b)^2 ( a − b ) 2   results in   a 2 − 2 a b + b 2 a^2 - 2ab + b^2 a 2 − 2 ab + b 2  . Applying this to   ( x − 8 ) 2 (x - 8)^2 ( x − 8 ) 2   gives   x 2 − 2 ( x ) ( 8 ) + 8 2 x^2 - 2(x)(8) + 8^2 x 2 − 2 ( x ) ( 8 ) + 8 2  , which simplifies to   x 2 − 16 x + 64 x^2 - 16x + 64 x 2 − 16 x + 64  .

Use a special product pattern to find the product $x - 8 ) ^ { 2 }$ .

A) $x ^ { 2 } - 16 x + 64$
B) $x ^ { 2 } - 64$
C) $x ^ { 2 } + 64$
D) $x ^ { 2 } + 16 x + 64$
E) $x ^ { 2 } - 8 x + 64$

Definitions

Learning Objectives

Learning Objectives

Related questions

Use a special product pattern to find the product (x−8) 2( x - 8 ) ^ { 2 }(x−8) 2 .A) x2−16x+64x ^ { 2 } - 16 x + 64x2−16x+64 B) x2−64x ^ { 2 } - 64x2−64 C) x2+64x ^ { 2 } + 64x2+64 D) x2+16x+64x ^ { 2 } + 16 x + 64x2+16x+64 E) x2−8x+64x ^ { 2 } - 8 x + 64x2−8x+64

Definitions

Learning Objectives

Learning Objectives

Related questions

Use a special product pattern to find the product $x - 8 ) ^ { 2 }$ .

A) $x ^ { 2 } - 16 x + 64$
B) $x ^ { 2 } - 64$
C) $x ^ { 2 } + 64$
D) $x ^ { 2 } + 16 x + 64$
E) $x ^ { 2 } - 8 x + 64$