Find the product. $\left( y ^ { 3 } - 3 \right) \left( y ^ { 3 } + 3 \right)$
A) $y ^ { 6 } - 9$
B) $y ^ { 6 } + 6 y ^ { 3 } - 9$
C) $y ^ { 3 } - 9$
D) $y ^ { 6 } + 9$
E) $y ^ { 6 } - 6 y ^ { 3 } + 9$

Question

Quizplus · Accepted Answer

This is an application of the difference of squares formula, $a^2 - b^2 = (a - b)(a + b)$, where $a = y^3$ and $b = 3$, resulting in $y^6 - 9$.

Find the Product (y3−3)(y3+3)\left( y ^ { 3 } - 3 \right) \left( y ^ { 3 } + 3 \right)(y3−3)(y3+3)

Find the Product $\left( y ^ { 3 } - 3 \right) \left( y ^ { 3 } + 3 \right)$