Question

(2q 5 +7q)+(5q 5 +3q 3 )left parenthesis, 2, q, start superscript, 5, end superscript, plus, 7, q, right parenthesis, plus, left parenthesis, 5, q, start superscript, 5, end superscript, plus, 3, q, cubed, right parenthesis Which of the following expressions is equivalent to the given expression?

Answer 1

Expanding the given expression, we have:

(2q^5 + 7q) + (5q^5 + 3q^3)

= 2q^5 + 7q + 5q^5 + 3q^3 (rearranging terms)

= 7q + 3q^3 + 2q^5 + 5q^5 (rearranging terms)

So the equivalent expression is:

7q + 3q^3 + 7q^5