Use a special product pattern to find the product ( 7 x + 1 ) 2 ( 7 x + 1 ) ^ { 2 } ( 7 x + 1 ) 2 .A) 49 x 2 − 1 49 x ^ { 2 } - 1 49 x 2 − 1 B) 49 x 2 + 16 x + 1 49 x ^ { 2 } + 16 x + 1 49 x 2 + 16 x + 1 C) 49 x 2 + 1 49 x ^ { 2 } + 1 49 x 2 + 1 D) 49 x 2 + 7 x + 1 49 x ^ { 2 } + 7 x + 1 49 x 2 + 7 x + 1 E) 49 x 2 + 14 x + 1 49 x ^ { 2 } + 14 x + 1 49 x 2 + 14 x + 1

Question

Use a special product pattern to find the product   ( 7 x + 1 )  2 ( 7 x + 1 )  ^ { 2 } ( 7 x + 1 )  2  .A)    49 x 2 − 1 49 x ^ { 2 } - 1 49 x 2 − 1 B)    49 x 2 + 16 x + 1 49 x ^ { 2 } + 16 x + 1 49 x 2 + 16 x + 1 C)    49 x 2 + 1 49 x ^ { 2 } + 1 49 x 2 + 1 D)    49 x 2 + 7 x + 1 49 x ^ { 2 } + 7 x + 1 49 x 2 + 7 x + 1 E)    49 x 2 + 14 x + 1 49 x ^ { 2 } + 14 x + 1 49 x 2 + 14 x + 1

Jolina Santos · Accepted Answer

Final Answer : E, Explanation :   The correct expansion using the special product pattern   ( a + b ) 2 = a 2 + 2 a b + b 2 (a + b)^2 = a^2 + 2ab + b^2 ( a + b ) 2 = a 2 + 2 ab + b 2   is   49 x 2 + 14 x + 1 49x^2 + 14x + 1 49 x 2 + 14 x + 1  .

Use a special product pattern to find the product $7 x + 1 ) ^ { 2 }$ .

A) $49 x ^ { 2 } - 1$
B) $49 x ^ { 2 } + 16 x + 1$
C) $49 x ^ { 2 } + 1$
D) $49 x ^ { 2 } + 7 x + 1$
E) $49 x ^ { 2 } + 14 x + 1$

Definitions

Learning Objectives

Learning Objectives

Related questions

Use a special product pattern to find the product (7x+1) 2( 7 x + 1 ) ^ { 2 }(7x+1) 2 .A) 49x2−149 x ^ { 2 } - 149x2−1 B) 49x2+16x+149 x ^ { 2 } + 16 x + 149x2+16x+1 C) 49x2+149 x ^ { 2 } + 149x2+1 D) 49x2+7x+149 x ^ { 2 } + 7 x + 149x2+7x+1 E) 49x2+14x+149 x ^ { 2 } + 14 x + 149x2+14x+1

Definitions

Learning Objectives

Learning Objectives

Related questions

Use a special product pattern to find the product $7 x + 1 ) ^ { 2 }$ .

A) $49 x ^ { 2 } - 1$
B) $49 x ^ { 2 } + 16 x + 1$
C) $49 x ^ { 2 } + 1$
D) $49 x ^ { 2 } + 7 x + 1$
E) $49 x ^ { 2 } + 14 x + 1$