Find the product (5x-2)^2

Question

find the product (5x-2)^2

Answer 1

Hi Erica;

(5x-2)²

This is...

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

Let's FOIL...

FIRST...(5x)(5x)=25x²

OUTER...(5x)(-2)=-10x

INNER...(-2)(5x)=-10x

LAST...(-2)(-2)=4

25x²-10x-10x+4

25x²-20x+4

Answer 2

Hi Erica,

 

Here you need to expand the expression (5x-2)(5x-2), (sometimes this is called the FOIL method).

 

I am going to use * as a multiplication symbol. 

 

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

 

25x² + (-10x) + (-10x) + 4

 

25x² - 20x + 4 

 

I hope this helps!