Question

which expression is equivalent to -6(-2h - 1) + 8(-6h - 2)? -6(-h - 2) + -6(8h - 2) (-2h - 1)· -6 + (-6h - 2)8 -2(-h - 6) + -2(8h - 6) -1(-2h - 6) + -6(8h - 2)

Explanation:

Step1: Apply distributive property

$-6(-2h - 1)+8(-6h - 2)=(-6)\times(-2h)+(-6)\times(-1)+8\times(-6h)+8\times(-2)=12h + 6-48h - 16$

Step2: Combine like - terms

$12h-48h+6 - 16=-36h - 10$

Now check each option:

Option 1:

$-6(-h - 2)+-6(8h - 2)=(-6)\times(-h)+(-6)\times(-2)+(-6)\times(8h)+(-6)\times(-2)=6h + 12-48h + 12=-42h+24$

Option 2:

$(-2h - 1)\times(-6)+(-6h - 2)\times8=(-2h)\times(-6)+(-1)\times(-6)+(-6h)\times8+(-2)\times8 = 12h+6-48h - 16=-36h - 10$

Option 3:

$-2(-h - 6)+-2(8h - 6)=(-2)\times(-h)+(-2)\times(-6)+(-2)\times(8h)+(-2)\times(-6)=2h + 12-16h + 12=-14h+24$

Option 4:

$-1(-2h - 6)+-6(8h - 2)=(-1)\times(-2h)+(-1)\times(-6)+(-6)\times(8h)+(-6)\times(-2)=2h + 6-48h + 12=-46h+18$

Answer:

$(-2h - 1)\cdot -6+(-6h - 2)8$