Use a special product pattern to find the product ( x + 9 ) ( x − 9 ) ( x + 9 ) ( x - 9 ) ( x + 9 ) ( x − 9 ) .A) x 2 − 18 x + 81 x ^ { 2 } - 18 x + 81 x 2 − 18 x + 81 B) x 2 − 81 x ^ { 2 } - 81 x 2 − 81 C) x 2 + 81 x ^ { 2 } + 81 x 2 + 81 D) x 2 + 18 x + 81 x ^ { 2 } + 18 x + 81 x 2 + 18 x + 81 E) x 2 − 18 x ^ { 2 } - 18 x 2 − 18

Question

Use a special product pattern to find the product   ( x + 9 )  ( x − 9 )  ( x + 9 )  ( x - 9 )  ( x + 9 )  ( x − 9 )    .A)    x 2 − 18 x + 81 x ^ { 2 } - 18 x + 81 x 2 − 18 x + 81 B)    x 2 − 81 x ^ { 2 } - 81 x 2 − 81 C)    x 2 + 81 x ^ { 2 } + 81 x 2 + 81 D)    x 2 + 18 x + 81 x ^ { 2 } + 18 x + 81 x 2 + 18 x + 81 E)    x 2 − 18 x ^ { 2 } - 18 x 2 − 18

LINDA HENDERSON · Accepted Answer

Final Answer : B, Explanation :   This problem can be solved using the formula   ( a + b ) ( a − b ) = a 2 − b 2 (a+b)(a-b) = a^2 - b^2 ( a + b ) ( a − b ) = a 2 − b 2  . If we let   a = x a=x a = x   and   b = 9 b=9 b = 9  , we get: ( x + 9 ) ( x − 9 ) = x 2 − 9 2 = x 2 − 81 (x+9)(x-9) = x^2 - 9^2 = x^2 - 81 ( x + 9 ) ( x − 9 ) = x 2 − 9 2 = x 2 − 81 Therefore, the correct answer is B.

Use a special product pattern to find the product $(x + 9) (x - 9)$ .

A) $x ^ { 2 } - 18 x + 81$
B) $x ^ { 2 } - 81$
C) $x ^ { 2 } + 81$
D) $x ^ { 2 } + 18 x + 81$
E) $x ^ { 2 } - 18$

Definitions

Learning Objectives

Learning Objectives

Related questions

Use a special product pattern to find the product (x+9) (x−9) ( x + 9 ) ( x - 9 ) (x+9) (x−9) .A) x2−18x+81x ^ { 2 } - 18 x + 81x2−18x+81 B) x2−81x ^ { 2 } - 81x2−81 C) x2+81x ^ { 2 } + 81x2+81 D) x2+18x+81x ^ { 2 } + 18 x + 81x2+18x+81 E) x2−18x ^ { 2 } - 18x2−18

Definitions

Learning Objectives

Learning Objectives

Related questions

Use a special product pattern to find the product $(x + 9) (x - 9)$ .

A) $x ^ { 2 } - 18 x + 81$
B) $x ^ { 2 } - 81$
C) $x ^ { 2 } + 81$
D) $x ^ { 2 } + 18 x + 81$
E) $x ^ { 2 } - 18$