which of the following expressions are equivalent to 40x + 30y? choose all that apply. 5x(8 + 6) 5(8x + 6y)…

Answer:

B. $5(8x + 6y)$, D. $10(4x + 3y)$, F. $2(20x + 15y)$

Explanation:

Step1: Expand option B

$5(8x + 6y)=5\times8x+5\times6y = 40x + 30y$

Step2: Expand option D

$10(4x + 3y)=10\times4x+10\times3y=40x + 30y$

Step3: Expand option F

$2(20x + 15y)=2\times20x+2\times15y = 40x + 30y$

Step4: Expand option A

$5x(8 + 6)=5x\times14 = 70x\neq40x + 30y$

Step5: Expand option C

$10(40x + 30y)=400x+300y\neq40x + 30y$

Step6: Expand option E

$2y(20x + 15)=2y\times20x+2y\times15 = 40xy+30y\neq40x + 30y$