Algebra Examples

$(7 a^{2} - 3 a) - (5 a^{2} - 5 a)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$7 a^{2} - 3 a - (5 a^{2}) - (- 5 a)$

Step 1.2

Multiply $5$ by $- 1$ .

$7 a^{2} - 3 a - 5 a^{2} - (- 5 a)$

Step 1.3

Multiply $- 5$ by $- 1$ .

$7 a^{2} - 3 a - 5 a^{2} + 5 a$

$7 a^{2} - 3 a - 5 a^{2} + 5 a$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $5 a^{2}$ from $7 a^{2}$ .

$2 a^{2} - 3 a + 5 a$

Step 2.2

Add $- 3 a$ and $5 a$ .

$2 a^{2} + 2 a$

$2 a^{2} + 2 a$

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