Question

Expand the following:
a) x(x + 2)
b) x(2x - 5)
c) 2x(3x + 4)
d) 6x(x-2y)

Answer 1

[A] x² + 2x

[B] 2x² - 5x

[C] 6x² + 8x

[D] 6x² - 12xy

Step-by-step explanation:

• x(x + 2)

Apply Distributive Law: a(b + c) = ab + ac

x(x + 2) = xx + x · 2

Simplify:

x² + 2x

• x(2x - 5)

Apply Distributive Law: a(b - c) = ab - ac

x(2x - 5) = x · 2x - x · 5

Simplify:

2x² - 5x

• 2x(3x + 4)

Apply Distributive Law: a(b + c) = ab + ac

2x(3x + 4) = 2x · 3x + 2x · 4

Simplify:

6x² + 8x

• 6x(x - 2y)

Apply Distributive Law: a(b - c) = ab - ac

6x(x - 2y) = 6xx - 6x · 2y

SImplify:

6x² - 12xy

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