Factor the perfect square trinomial $64 a ^ { 2 } - 112 a + 49$ .
A) $( 8 a + 49 ) ^ { 2 }$
B) $( 8 a - 49 ) ^ { 2 }$
C) $( 8 a - 7 ) ^ { 2 }$
D) $( 64 a + 49 ) ^ { 2 }$
E) $( 8 a + 7 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

To factor a perfect square trinomial of the form $a^2-2ab+b^2$, we can use the pattern $(a-b)^2=a^2-2ab+b^2$. Here, we have $64a^2-112a+49$, which can be rewritten as $(8a)^2-2(8a)(7)+7^2$. Using the pattern, this equals $(8a-7)^2$. Therefore, the answer is (C) $(8a-7)^2$.

Factor the Perfect Square Trinomial 64a2−112a+4964 a ^ { 2 } - 112 a + 4964a2−112a+49

Factor the Perfect Square Trinomial $64 a ^ { 2 } - 112 a + 49$