Question

Which expression is equivalent to (3a5 + b4)2

Answer 1

Is it multiple choice or do you have to write a answer?

Answer 2

Answer:

The expression $9a^{10}+6a^2b^4+b^8$ is equivalent to the given expression.

Step-by-step explanation:

The given expression is

$(3a^5+b^4)^2$

Use algebraic formula:

$(a+b)^2=a^2+2ab+b^2$

$(3a^5+b^4)^2=(3a^5)^2+2(3a^5)(b^4)+(b^4)^2$

$(3a^5+b^4)^2=3^2(a^5)^2+6a^5b^4+(b^4)^2$

Use exponent property:

$(a^m)^n=a^{mn}$

$(3a^5+b^4)^2=9a^{10}+6a^5b^4+b^8$

Therefore expression $9a^{10}+6a^5b^4+b^8$ is equivalent to the given expression.