Factor the perfect square trinomial below. x 2 + 18 x + 81 x ^ { 2 } + 18 x + 81 x 2 + 18 x + 81 A) ( x + 18 ) 2 ( x + 18 ) ^ { 2 } ( x + 18 ) 2 B) ( x − 18 ) 2 ( x - 18 ) ^ { 2 } ( x − 18 ) 2 C) ( x + 9 ) ( x − 9 ) ( x + 9 ) ( x - 9 ) ( x + 9 ) ( x − 9 ) D) ( x + 9 ) 2 ( x + 9 ) ^ { 2 } ( x + 9 ) 2 E) ( x − 9 ) 2 ( x - 9 ) ^ { 2 } ( x − 9 ) 2

Question

Factor the perfect square trinomial below.   x 2 + 18 x + 81 x ^ { 2 } + 18 x + 81 x 2 + 18 x + 81 A)    ( x + 18 )  2 ( x + 18 )  ^ { 2 } ( x + 18 )  2 B)    ( x − 18 )  2 ( x - 18 )  ^ { 2 } ( x − 18 )  2 C)    ( x + 9 )  ( x − 9 )  ( x + 9 )  ( x - 9 )  ( x + 9 )  ( x − 9 )  D)    ( x + 9 )  2 ( x + 9 )  ^ { 2 } ( x + 9 )  2 E)    ( x − 9 )  2 ( x - 9 )  ^ { 2 } ( x − 9 )  2

Aminul Islam · Accepted Answer

Final Answer : D, Explanation :  To factor a perfect square trinomial of the form $x^2+2ax+a^2$, we simply write it as $(x+a)^2$. In this case, we have $x^2+18x+81$, so we see that $a=9$ and $2a=18$. Therefore, we can write the trinomial as $(x+9)^2$, or choice D.

Factor the perfect square trinomial below. $x ^ { 2 } + 18 x + 81$

A) $x + 18 ) ^ { 2 }$
B) $x - 18 ) ^ { 2 }$
C) $(x + 9) (x - 9)$
D) $x + 9 ) ^ { 2 }$
E) $x - 9 ) ^ { 2 }$

Definitions

Learning Objectives

Learning Objectives

Related questions

Factor the perfect square trinomial below. x2+18x+81x ^ { 2 } + 18 x + 81x2+18x+81 A) (x+18) 2( x + 18 ) ^ { 2 }(x+18) 2 B) (x−18) 2( x - 18 ) ^ { 2 }(x−18) 2 C) (x+9) (x−9) ( x + 9 ) ( x - 9 ) (x+9) (x−9) D) (x+9) 2( x + 9 ) ^ { 2 }(x+9) 2 E) (x−9) 2( x - 9 ) ^ { 2 }(x−9) 2

Definitions

Learning Objectives

Learning Objectives

Related questions

Factor the perfect square trinomial below. $x ^ { 2 } + 18 x + 81$

A) $x + 18 ) ^ { 2 }$
B) $x - 18 ) ^ { 2 }$
C) $(x + 9) (x - 9)$
D) $x + 9 ) ^ { 2 }$
E) $x - 9 ) ^ { 2 }$