Question

Expand each expression and simplify your answers as far as possible
1. 8x - 2(3 - 2x)
2. 4x + 5-3(2x - 4)

Answer 1

Answer:

1. 12x - 6

2. -2x + 17

Step-by-step explanation:

1.

• 8x - 2(3 - 2x)
• 8x - (-2)(3) + (-2)(-2x)
• 8x + (-6) + 4x
• (8x + 4x) + (-6)
• 12x - 6

2.

• 4x + 5 + (-3)(2x) + (-3)(-4)
• 4x + 5 - 6x + 12
• (4x - 6x) + (5 + 12)
• -2x + 17

Answer 2

Answer:

$\boxed{\sf 12x-6}$

$\boxed{\sf -2x+17}$

Step-by-step explanation:

$\sf 1)\: 8x - 2(3 - 2x)$

Apply Distributive Property to multiply -2 by (3-2x):

→ $\sf 8x-6+4x$

Combine like terms:

→ $\sf (8x+4x)$

• $\sf 12x$

$\boxed{\sf 12x-6}$

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$\sf 2)\: 4x + 5-3(2x - 4)$

Apply Distributive property:

Multiply -3 by (2x-4):

$\sf 4x+5-6x+12$

Combine like terms:

→$\sf (4x+(-6x))$

• $\sf -2x$

→ $\sf (5+12)$

• $\sf 17$

$\boxed{\sf -2x+17}$

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