Mathematics

need help.  multiply.  5x(x-8y)²   (simplify answer)


Answers

dalmayshuns101

4 years ago Comment

Best answer

first thing you do is the exponent. (x - 8y) (x - 8y) = [latex] x^2 - 16xy + 64y^2 [/latex] your final answer is  [latex]5x(x^2 - 16xy + 64y^2)[/latex]

jbaby493

4 years ago Comment

First, simplify the exponent using FOIL method:

First, Outside, Inside, Last

(x-8y)(x-8y)

F= x*x=x^2
O=x*-8y= -8xy
I= -8y*x= -8xy
L= -8y*-8y= 64y^2

Combine like terms

x^2    -8xy       64y^2
         -8xy
----------------------------
x^2-16xy+64y^2

Now we have 5x(x^2 -16xy +64y^2)

Multiply each term inside the brackets with 5x

5x * x^2= 5x^3
5x * -16xy= -80x^2y
5x  * 64y^2= 320y^2x

Final equation: 5x³ -80x²y +320xy²