Find the product.
-$$( 5 x - 2 ) ^ { 4 }$$
A) $- 1250 x ^ { 4 } + 2000 x ^ { 3 } + 600 x ^ { 2 } + 320 x + 16$
B) $625 x ^ { 3 } - 1000 x ^ { 2 } + 600 x - 160$
C) $625 x ^ { 4 } - 1000 x ^ { 3 } + 600 x ^ { 2 } - 160 x + 16$
D) $\left( 25 x ^ { 2 } - 10 x + 4 \right) ^ { 4 }$

Question

Quizplus · Accepted Answer

To find the product of $(5x - 2)^4$, you can expand the expression using the binomial theorem or by multiplying the binomial by itself four times. The correct expansion results in $625x^4 - 1000x^3 + 600x^2 - 160x + 16$, which matches option C.

Find the Product (5x−2)4( 5 x - 2 ) ^ { 4 }(5x−2)4

Find the Product $( 5 x - 2 ) ^ { 4 }$