Find the product.
-$$( 4 x + 5 ) ^ { 3 }$$
A) $16 x ^ { 2 } + 40 x + 25$
B) $64 x ^ { 3 } + 240 x ^ { 2 } + 300 x + 125$
C) $64 x ^ { 3 } + 240 x ^ { 2 } + 240 x + 125$
D) $16 x ^ { 6 } + 20 x ^ { 3 } + 15,625$

Question

Quizplus · Accepted Answer

To find the product of $(4x + 5)^3$, we use the binomial expansion formula for a cube, which is $(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3$. Substituting $a = 4x$ and $b = 5$, we get $64x^3 + 3(16x^2)(5) + 3(4x)(25) + 5^3 = 64x^3 + 240x^2 + 300x + 125$.

Find the Product (4x+5)3( 4 x + 5 ) ^ { 3 }(4x+5)3

Find the Product $( 4 x + 5 ) ^ { 3 }$