Question

(Write an equivalent expression by applying the distributive property X+2)(x+9)

Answer 1

x^2 + 11x + 18

Explanation:

I assume this is asking about (x+2)(x+9), so if it isn't, then I can't be sure this is right.

That said, the distributive property has to do with multiplication of things in parentheses, meaning you must multiply this expression out to get what the question is asking. When it comes to 2 binomials, you can use the common abbreviation First Inside Outside Last, or FOIL.

Multiply the First terms: x * x = x^2

Multiply the Outside terms: x * 9 = 9x

Multiply the Inside terms: 2 * x = 2x

Multiply the Last terms: 2 * 9 = 18

This leaves you with x^2 + 9x + 2x + 18. Combine your like terms (9x and 2x) to get x^2 + 11x + 18 and you're done!

Answer 2

Explanation:

(x + 2)(x +9)= x*(x +9) + 2*(x +9)

= x*x + x*9 + 2*x + 2*9

= x² + 9x + 2x + 18 {Combine like terms}

= x² + 11x +18