Question

what is the standard form of this expression? (4y - 9)(2y - 3) a. 8y^2 - 6y + 27 b. 8y^2 - 18y - 12 c. 8y^2 + 6y - 12 d. 8y^2 - 30y + 27

Explanation:

Step1: Use FOIL method

$(4y - 9)(2y - 3)=4y\times2y+4y\times(- 3)+(-9)\times2y+(-9)\times(-3)$

Step2: Calculate each product

$4y\times2y = 8y^{2}$, $4y\times(-3)=-12y$, $(-9)\times2y=-18y$, $(-9)\times(-3) = 27$

Step3: Combine like - terms

$8y^{2}-12y-18y + 27=8y^{2}-30y + 27$

Answer:

D. $8y^{2}-30y + 27$