expand the expression to a polynomial in standard form: (2x + 1)(2x^2 + 7x + 10)

Explanation:

Step1: Use distributive property

$2x(2x^{2}+7x + 10)+1(2x^{2}+7x + 10)$

Step2: Multiply each term

$2x\times2x^{2}+2x\times7x+2x\times10 + 2x^{2}+7x + 10$ $4x^{3}+14x^{2}+20x+2x^{2}+7x + 10$

Step3: Combine like - terms

$4x^{3}+(14x^{2}+2x^{2})+(20x + 7x)+10$ $4x^{3}+16x^{2}+27x + 10$

Answer:

$4x^{3}+16x^{2}+27x + 10$