Math  /  Algebra

Questiony=(x+6)(x2)y=(x+6)(x-2)

Studdy Solution

STEP 1

1. We are given the expression y=(x+6)(x2) y = (x+6)(x-2) .
2. We need to expand this expression to find a simplified form.

STEP 2

1. Apply the distributive property to expand the expression.
2. Simplify the resulting expression by combining like terms.

STEP 3

Apply the distributive property (also known as the FOIL method for binomials) to expand the expression:
y=(x+6)(x2) y = (x+6)(x-2) y=x(x)+x(2)+6(x)+6(2) y = x(x) + x(-2) + 6(x) + 6(-2)

STEP 4

Perform the multiplications:
y=x22x+6x12 y = x^2 - 2x + 6x - 12

STEP 5

Combine like terms:
y=x2+(2x+6x)12 y = x^2 + ( -2x + 6x ) - 12 y=x2+4x12 y = x^2 + 4x - 12
The expanded and simplified form of the expression is:
y=x2+4x12 y = x^2 + 4x - 12

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