Solve (3w-4y+6)(w+3y-6)

$$( 3 w - 4 y + 6 ) ( w + 3 y - 6 )$$

Evaluate

$$\left(3y+w-6\right)\left(6+3w-4y\right)$$

Solution Steps

Apply the distributive property by multiplying each term of 3w-4y+6 by each term of w+3y-6.

$$3w^{2}+9wy-18w-4yw-12y^{2}+24y+6w+18y-36$$

Combine 9wy and -4yw to get 5wy.

$$3w^{2}+5wy-18w-12y^{2}+24y+6w+18y-36$$

Combine -18w and 6w to get -12w.

$$3w^{2}+5wy-12w-12y^{2}+24y+18y-36$$

Combine 24y and 18y to get 42y.

$$3w^{2}+5wy-12w-12y^{2}+42y-36$$

Expand

$$-12y^{2}+5wy+42y+3w^{2}-12w-36$$

Solution Steps

Apply the distributive property by multiplying each term of 3w-4y+6 by each term of w+3y-6.

$$3w^{2}+9wy-18w-4yw-12y^{2}+24y+6w+18y-36$$

Combine 9wy and -4yw to get 5wy.

$$3w^{2}+5wy-18w-12y^{2}+24y+6w+18y-36$$

Combine -18w and 6w to get -12w.

$$3w^{2}+5wy-12w-12y^{2}+24y+18y-36$$

Combine 24y and 18y to get 42y.

$$3w^{2}+5wy-12w-12y^{2}+42y-36$$