factor 40 + 64. write your answer in the form a(b + c) where a is the gcf of 40 and 64.
factor 40 + 64. write your answer in the form a(b + c) where a is the gcf of 40 and 64.
Answer
Explanation:
Step1: Find GCF of 40 and 64
Prime - factorize 40: (40 = 2\times2\times2\times5). Prime - factorize 64: (64=2\times2\times2\times2\times2\times2). The common factors are (2\times2\times2), so (GCF(40,64)=8).
Step2: Rewrite 40 and 64 as multiples of 8
(40 = 8\times5) and (64 = 8\times8).
Step3: Apply the distributive property
(40 + 64=8\times5+8\times8). Using (a\times b+a\times c=a(b + c)) (where (a = 8), (b = 5), (c = 8)), we get (8(5 + 8)).
Answer:
(8(5 + 8))