Solve (7x ^ 2 - xy + 4y) - (6x ^ 2 - 8xy - 5y ^ 2) * 5 | 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

$$(7x^{2}-xy+4y)-(6x^{2}-8xy-5y^{2})5$$

Evaluate

$4y+25y^{2}+39xy-23x^{2}$

Solution Steps

Use the distributive property to multiply $6x^{2}-8xy-5y^{2}$ by $5$.

$$7x^{2}-xy+4y-\left(30x^{2}-40xy-25y^{2}\right)$$

To find the opposite of $30x^{2}-40xy-25y^{2}$, find the opposite of each term.

$$7x^{2}-xy+4y-30x^{2}+40xy+25y^{2}$$

Combine $7x^{2}$ and $-30x^{2}$ to get $-23x^{2}$.

$$-23x^{2}-xy+4y+40xy+25y^{2}$$

Combine $-xy$ and $40xy$ to get $39xy$.

$$-23x^{2}+39xy+4y+25y^{2}$$

Expand

$4y+25y^{2}+39xy-23x^{2}$

Solution Steps

Use the distributive property to multiply $6x^{2}-8xy-5y^{2}$ by $5$.

$$7x^{2}-xy+4y-\left(30x^{2}-40xy-25y^{2}\right)$$

To find the opposite of $30x^{2}-40xy-25y^{2}$, find the opposite of each term.

$$7x^{2}-xy+4y-30x^{2}+40xy+25y^{2}$$

Combine $7x^{2}$ and $-30x^{2}$ to get $-23x^{2}$.

$$-23x^{2}-xy+4y+40xy+25y^{2}$$

Combine $-xy$ and $40xy$ to get $39xy$.

$$-23x^{2}+39xy+4y+25y^{2}$$