Solve (1/2g+6h)(2g+2h)

$$( \frac { 1 } { 2 } g + 6 h ) ( 2 g + 2 h )$$

Evaluate

$$\left(g+h\right)\left(g+12h\right)$$

Solution Steps

Apply the distributive property by multiplying each term of \frac{1}{2}g+6h by each term of 2g+2h.

$$\frac{1}{2}g\times 2g+\frac{1}{2}g\times 2h+12hg+12h^{2}$$

Multiply g and g to get g^{2}.

$$\frac{1}{2}g^{2}\times 2+\frac{1}{2}g\times 2h+12hg+12h^{2}$$

Cancel out 2 and 2.

$$g^{2}+\frac{1}{2}g\times 2h+12hg+12h^{2}$$

Cancel out 2 and 2.

$$g^{2}+gh+12hg+12h^{2}$$

Combine gh and 12hg to get 13gh.

$$g^{2}+13gh+12h^{2}$$

Expand

$$g^{2}+13gh+12h^{2}$$

Solution Steps

Apply the distributive property by multiplying each term of \frac{1}{2}g+6h by each term of 2g+2h.

$$\frac{1}{2}g\times 2g+\frac{1}{2}g\times 2h+12hg+12h^{2}$$

Multiply g and g to get g^{2}.

$$\frac{1}{2}g^{2}\times 2+\frac{1}{2}g\times 2h+12hg+12h^{2}$$

Cancel out 2 and 2.

$$g^{2}+\frac{1}{2}g\times 2h+12hg+12h^{2}$$

Cancel out 2 and 2.

$$g^{2}+gh+12hg+12h^{2}$$

Combine gh and 12hg to get 13gh.

$$g^{2}+13gh+12h^{2}$$