Solve d - 6 - 2\{3xy - x(y + 7) + 4x - 3 - 4(2x + 5)\}

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$- 6 - 2 \{ 3 x y - x ( y + 7 ) + 4 x - 3 - 4 ( 2 x + 5 ) \}$$

Evaluate

$40+22x-4xy$

Solution Steps

Use the distributive property to multiply $x$ by $y+7$.

$$-6-2\left(3xy-\left(xy+7x\right)+4x-3-4\left(2x+5\right)\right)$$

To find the opposite of $xy+7x$, find the opposite of each term.

$$-6-2\left(3xy-xy-7x+4x-3-4\left(2x+5\right)\right)$$

Combine $3xy$ and $-xy$ to get $2xy$.

$$-6-2\left(2xy-7x+4x-3-4\left(2x+5\right)\right)$$

Combine $-7x$ and $4x$ to get $-3x$.

$$-6-2\left(2xy-3x-3-4\left(2x+5\right)\right)$$

Use the distributive property to multiply $-4$ by $2x+5$.

$$-6-2\left(2xy-3x-3-8x-20\right)$$

Combine $-3x$ and $-8x$ to get $-11x$.

$$-6-2\left(2xy-11x-3-20\right)$$

Subtract $20$ from $-3$ to get $-23$.

$$-6-2\left(2xy-11x-23\right)$$

Use the distributive property to multiply $-2$ by $2xy-11x-23$.

$$-6-4xy+22x+46$$

Add $-6$ and $46$ to get $40$.

$$40-4xy+22x$$

Show Solution

Expand

$40+22x-4xy$

Solution Steps

Use the distributive property to multiply $x$ by $y+7$.

$$-6-2\left(3xy-\left(xy+7x\right)+4x-3-4\left(2x+5\right)\right)$$

To find the opposite of $xy+7x$, find the opposite of each term.

$$-6-2\left(3xy-xy-7x+4x-3-4\left(2x+5\right)\right)$$

Combine $3xy$ and $-xy$ to get $2xy$.

$$-6-2\left(2xy-7x+4x-3-4\left(2x+5\right)\right)$$

Combine $-7x$ and $4x$ to get $-3x$.

$$-6-2\left(2xy-3x-3-4\left(2x+5\right)\right)$$

Use the distributive property to multiply $-4$ by $2x+5$.

$$-6-2\left(2xy-3x-3-8x-20\right)$$

Combine $-3x$ and $-8x$ to get $-11x$.

$$-6-2\left(2xy-11x-3-20\right)$$

Subtract $20$ from $-3$ to get $-23$.

$$-6-2\left(2xy-11x-23\right)$$

Use the distributive property to multiply $-2$ by $2xy-11x-23$.

$$-6-4xy+22x+46$$

Add $-6$ and $46$ to get $40$.

$$40-4xy+22x$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Solution Steps

Expand

Solution Steps