Solve [(d-2)+7g][(d-2)-7g]

$$[ ( d - 2 ) + 7 g ] [ ( d - 2 ) - 7 g ]$$

Evaluate

$$\left(d-2\right)^{2}-49g^{2}$$

Solution Steps

Apply the distributive property by multiplying each term of d-2+7g by each term of d-2-7g.

$$d^{2}-2d-7dg-2d+4+14g+7gd-14g-49g^{2}$$

Combine -2d and -2d to get -4d.

$$d^{2}-4d-7dg+4+14g+7gd-14g-49g^{2}$$

Combine -7dg and 7gd to get 0.

$$d^{2}-4d+4+14g-14g-49g^{2}$$

Combine 14g and -14g to get 0.

$$d^{2}-4d+4-49g^{2}$$

Expand

$$d^{2}-4d-49g^{2}+4$$

Solution Steps

Apply the distributive property by multiplying each term of d-2+7g by each term of d-2-7g.

$$d^{2}-2d-7dg-2d+4+14g+7gd-14g-49g^{2}$$

Combine -2d and -2d to get -4d.

$$d^{2}-4d-7dg+4+14g+7gd-14g-49g^{2}$$

Combine -7dg and 7gd to get 0.

$$d^{2}-4d+4+14g-14g-49g^{2}$$

Combine 14g and -14g to get 0.

$$d^{2}-4d+4-49g^{2}$$