Question

Simplify the product using the distributive property. (-4h +2)(3h +7)

A. 

-12h 2 - 22h + 14

 

B. 

-12h 2 - 34h - 14

 

C. 

-12h 2 + 34h - 14

 

D. 

-12h 2 + 22h + 14

please help

Answer 1

A. -12h² - 22h + 14

Explanation:

(-4h +2)(3h +7) = -4h(3h +7) +2(3h +7) . . . . . . . (a +b)c = ac +bc

= (-4h)(3h) + (-4h)(7) + (2)(3h) + (2)(7) . . . . . . . a(b +c) = ab +ac . . . (twice)

= -12h² -28h +6h +14

= -12h² -22h +14 . . . . . . . . collect terms