Solve this Equation?

Question

Simplify: -2(x + 5) squared

(the squared part is on the outside of the parenthesis)

Could you also explain your answer?

Answer 1

-2(x+5)^2

-2(x^2+10x+25)

-2x^2-20x-50

Answer 2

-2(x+5)²

= -2(x² + 10x + 25)

= -2x² - 20x - 50

Answer 3

Using the order of operations you first square what is inside of the parenthesis. In high school they taught us the FOIL method for squaring a polynomial (First, Inner, Outer, Last). So first you multiply x*x and then add it to x*5 and then x*5 again and then 5*5. Then after you add all that you are left with:

-2(x^2+10x+25)

You then distribute the -2 to leave you with:

-2x^2-20x-50

Answer 4

-2(x + 5)^2 =

-2(x+5)(x+5)

Multiply the x+5 by the other x+5, either by using FOIL or the distributive rule twice.

-2(x^2 + 10x + 25) =

-2x^2 - 20x - 50

Answer 5

-2(x+5)(x+5) Expand

-2(x^2+5x+5x+25)

-2x^2-10x-10x-50

-2x^2-20x+50