Factor over the Reals

(x - 2y)³(1 - x+ 2y)(1 + x - 2y)

Step-by-step explanation:

Given

(x - 2y)³ - ← factor out (x - 2y)³ from both terms

= (x - 2y)³(1 - (x - 2y)²) ← difference of squares which factors in general as

a² - b² = (a - b)(a + b) , then

1 - (x - 2y)²

= 1² - (x - 2y)²

= (1 - (x - 2y) )(1 + (x - 2y) )

= (1 - x + 2y)(1 + x - 2y)

Then

(x - 2y)³ -

= (x - 2y)³(1 - x + 2y)(1 + x - 2y) ← in factored form

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

where is the page?

step-by-step explanation: