Multiply.
-$(8 y-7)\left(64 y^{2}+56 y+49\right)$
A) $512 y^{3}-343$
B) $512 y^{3}+392 y^{2}-343$
C) $64 y^{3}+343$
D) $512 \mathrm{y}^{3}+343$

Question

Quizplus · Accepted Answer

The correct answer is obtained by multiplying the binomial $(8y - 7)$ with the trinomial $(64y^2 + 56y + 49)$. Using the distributive property (also known as the FOIL method for binomials), each term in the first polynomial is multiplied by each term in the second polynomial. The multiplication results in $512y^3 - 343$, as the middle terms cancel out.

Multiply - (8y−7)(64y2+56y+49)(8 y-7)\left(64 y^{2}+56 y+49\right)(8y−7)(64y2+56y+49) A) 512y3−343512 y^{3}-343512y3−343 B) 512y3+392y2−343512 y^{3}+392 y^{2}-343512y3+392y2−343

Multiply
- $(8 y-7)\left(64 y^{2}+56 y+49\right)$ A) $512 y^{3}-343$ B) $512 y^{3}+392 y^{2}-343$