Find the product of (4x + 3y)(4x − 3y).
16x2 − 24xy + 9y2
16x2 − 9y2
16x2 + 24xy + 9y2
16x2 + 9y2

Option B is correct

Step-by-step explanation:

The distributive property says that:

To find the product of (4x + 3y)(4x − 3y).

Distribute the first term of the first expression to the second expression and second term of the first expression to the second expression we have;

Apply the distributive property;

Combine like terms we have;

therefore, the product of  (4x + 3y)(4x − 3y) is,

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.