(5x-22)(x+40)

Apply the distributive property.

5x(x+40)-22(x+40)

Apply the distributive property.

5x⋅x+5x⋅40-22(x+40)

Apply the distributive property.

5x⋅x+5x⋅40-22x-22⋅40

5x⋅x+5x⋅40-22x-22⋅40

Simplify each term.

Multiply x by x by adding the exponents.

Move x.

5(x⋅x)+5x⋅40-22x-22⋅40

Multiply x by x.

5×2+5x⋅40-22x-22⋅40

5×2+5x⋅40-22x-22⋅40

Multiply 40 by 5.

5×2+200x-22x-22⋅40

Multiply -22 by 40.

5×2+200x-22x-880

5×2+200x-22x-880

Subtract 22x from 200x.

5×2+178x-880

5×2+178x-880

For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=5⋅-880=-4400 and whose sum is b=178.

Factor 178 out of 178x.

5×2+178(x)-880

Rewrite 178 as -22 plus 200

5×2+(-22+200)x-880

Apply the distributive property.

5×2-22x+200x-880

5×2-22x+200x-880

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

(5×2-22x)+200x-880

Factor out the greatest common factor (GCF) from each group.

x(5x-22)+40(5x-22)

x(5x-22)+40(5x-22)

Factor the polynomial by factoring out the greatest common factor, 5x-22.

(5x-22)(x+40)

(5x-22)(x+40)

Factor by Grouping (5x-22)(x+40)