Multiply. Assume that variables used as exponents represent positive integers.
-$$\left( \mathrm { x } ^ { \mathrm { a } } + 7 \right) \left( \mathrm { x } ^ { 2 \mathrm { a } } - 9 \right)$$
A) $x ^ { 3 a } - 2 x ^ { a } - 63$
B) $x ^ { 2 a ^ { 2 } + 7 x ^ { 2 a } - 9 x ^ { a } - 63 }$
C) $x ^ { 3 a } - 2 x ^ { 2 a } - 63$
D) $x ^ { 3 a } + 7 x ^ { 2 a } - 9 x ^ { a } - 63$

Question

Quizplus · Accepted Answer

When multiplying polynomials, each term in the first polynomial is multiplied by each term in the second polynomial. Thus, $(x^a + 7)(x^{2a} - 9)$ results in $x^{3a} + 7x^{2a} - 9x^a - 63$, following the rules of exponents and distribution.

Multiply Assume That Variables Used as Exponents Represent Positive Integers (xa+7)(x2a−9)\left( \mathrm { x } ^ { \mathrm { a } } + 7 \right) \left( \mathrm { x } ^ { 2 \mathrm { a } } - 9 \right)(xa+7)(x2a−9)

Multiply Assume That Variables Used as Exponents Represent Positive Integers $\left( \mathrm { x } ^ { \mathrm { a } } + 7 \right) \left( \mathrm { x } ^ { 2 \mathrm { a } } - 9 \right)$