Solve a+7(a(5a-b)-(a-2b)) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$a+7(a(5a-b)-(a-2b))$$

Evaluate

$35a^{2}-7ab-6a+14b$

Solution Steps

Use the distributive property to multiply $a$ by $5a-b$.

$$a+7\left(5a^{2}-ab-\left(a-2b\right)\right)$$

To find the opposite of $a-2b$, find the opposite of each term.

$$a+7\left(5a^{2}-ab-a-\left(-2b\right)\right)$$

The opposite of $-2b$ is $2b$.

$$a+7\left(5a^{2}-ab-a+2b\right)$$

Use the distributive property to multiply $7$ by $5a^{2}-ab-a+2b$.

$$a+35a^{2}-7ab-7a+14b$$

Combine $a$ and $-7a$ to get $-6a$.

$$-6a+35a^{2}-7ab+14b$$

Expand

$35a^{2}-7ab-6a+14b$

Solution Steps

Use the distributive property to multiply $a$ by $5a-b$.

$$a+7\left(5a^{2}-ab-\left(a-2b\right)\right)$$

To find the opposite of $a-2b$, find the opposite of each term.

$$a+7\left(5a^{2}-ab-a-\left(-2b\right)\right)$$

The opposite of $-2b$ is $2b$.

$$a+7\left(5a^{2}-ab-a+2b\right)$$

Use the distributive property to multiply $7$ by $5a^{2}-ab-a+2b$.

$$a+35a^{2}-7ab-7a+14b$$

Combine $a$ and $-7a$ to get $-6a$.

$$-6a+35a^{2}-7ab+14b$$