Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers.
-$$\left( 8 - y ^ { 5 } \right) \left( 8 + y ^ { 5 } \right)$$
A) $64 - \mathrm { y } ^ { 10 }$
B) $64 - y ^ { 25 }$
C) $\mathrm { y } ^ { 10 } - 64$
D) $64 - y ^ { 5 }$

Question

Quizplus · Accepted Answer

The rule for the product of the sum and difference of two terms is $(a - b)(a + b) = a^2 - b^2$. Applying this rule here with $a = 8$ and $b = y^5$, we get $8^2 - (y^5)^2 = 64 - y^{10}$.

Multiply Using the Rule for the Product of the Sum (8−y5)(8+y5)\left( 8 - y ^ { 5 } \right) \left( 8 + y ^ { 5 } \right)(8−y5)(8+y5)

Multiply Using the Rule for the Product of the Sum $\left( 8 - y ^ { 5 } \right) \left( 8 + y ^ { 5 } \right)$