Question

multiplying polynomials and simplifying expressions
what is the product?
$(4y - 3)(2y^{2}+3y - 5)$
$8y^{3}-23y + 15$
$8y^{3}+3y + 15$
$8y^{3}-6y^{2}-17y + 15$
$8y^{3}+6y^{2}-29y + 15$

Explanation:

Step1: Apply distributive property

$4y(2y^2 + 3y - 5) - 3(2y^2 + 3y - 5)$

Step2: Expand each term

$8y^3 + 12y^2 - 20y - 6y^2 - 9y + 15$

Step3: Combine like terms

$8y^3 + (12y^2 - 6y^2) + (-20y - 9y) + 15$

Step4: Simplify the expression

$8y^3 + 6y^2 - 29y + 15$

Answer:

$8y^3 + 6y^2 - 29y + 15$