Asked by Allison Bartley on May 17, 2024
Verified
Factor the perfect square trinomial below. 64x2+96xy+36y264 x ^ { 2 } + 96 x y + 36 y ^ { 2 }64x2+96xy+36y2
A) (6x+8y) 2( 6 x + 8 y ) ^ { 2 }(6x+8y) 2
B) (8x+6y) 2( 8 x + 6 y ) ^ { 2 }(8x+6y) 2
C) (8x−6y) 2( 8 x - 6 y ) ^ { 2 }(8x−6y) 2
D) (6x−8y) 2( 6 x - 8 y ) ^ { 2 }(6x−8y) 2
E) (6x−8y) (6x+8y) ( 6 x - 8 y ) ( 6 x + 8 y ) (6x−8y) (6x+8y)
Perfect Square Trinomial
A trinomial expression that is the square of a binomial, taking the form \(a^2 + 2ab + b^2\).
- Accomplish the task of factoring perfect square trinomials.
Verified Answer
AM
Anthony Maldonado
May 22, 2024
Final Answer :
B
Explanation :
The given trinomial is a perfect square because it can be expressed as (ax+by)2=a2x2+2abxy+b2y2(ax + by)^2 = a^2x^2 + 2abxy + b^2y^2(ax+by)2=a2x2+2abxy+b2y2 , where a=8a = 8a=8 and b=6b = 6b=6 , making the factored form (8x+6y)2(8x + 6y)^2(8x+6y)2 .
Learning Objectives
- Accomplish the task of factoring perfect square trinomials.