Algebra Examples

$(4 a + 7 b - 12 c) - (8 a - 9 b + 12 d)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 a + 7 b - 12 c - (8 a) - (- 9 b) - (12 d)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $8$ by $- 1$ .

$4 a + 7 b - 12 c - 8 a - (- 9 b) - (12 d)$

Step 1.2.2

Multiply $- 9$ by $- 1$ .

$4 a + 7 b - 12 c - 8 a + 9 b - (12 d)$

Step 1.2.3

Multiply $12$ by $- 1$ .

$4 a + 7 b - 12 c - 8 a + 9 b - 12 d$

$4 a + 7 b - 12 c - 8 a + 9 b - 12 d$

$4 a + 7 b - 12 c - 8 a + 9 b - 12 d$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $8 a$ from $4 a$ .

$- 4 a + 7 b - 12 c + 9 b - 12 d$

Step 2.2

Add $7 b$ and $9 b$ .

$- 4 a + 16 b - 12 c - 12 d$

$- 4 a + 16 b - 12 c - 12 d$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$