Find the product.
-$$( 5 y - 8 ) \left( 25 y ^ { 2 } + 40 y + 64 \right)$$
A) $125 y ^ { 3 } + 320 y ^ { 2 } - 512$
B) $125 y ^ { 3 } + 512$
C) $125 y ^ { 3 } - 512$
D) $25 y ^ { 3 } + 512$

Question

Quizplus · Accepted Answer

The expression is a product of a binomial and a trinomial. Using the distributive property, the product is $ (5y - 8)(25y^2 + 40y + 64) = 5y(25y^2 + 40y + 64) - 8(25y^2 + 40y + 64) $. Simplifying, we get $ 125y^3 + 200y^2 + 320y - 200y^2 - 320y - 512 $, which simplifies to $ 125y^3 - 512 $.

Find the Product (5y−8)(25y2+40y+64)( 5 y - 8 ) \left( 25 y ^ { 2 } + 40 y + 64 \right)(5y−8)(25y2+40y+64)

Find the Product $( 5 y - 8 ) \left( 25 y ^ { 2 } + 40 y + 64 \right)$