How to solve 5x(x-y)-y(x+y)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

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Question

$$5x(x-y)-y(x+y)$$

Evaluate

$-y\left(x+y\right)+5x\left(x-y\right)$

Solution Steps

Use the distributive property to multiply $5x$ by $x-y$.

$$5x^{2}-5xy-y\left(x+y\right)$$

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

$$5x^{2}-5xy-\left(yx+y^{2}\right)$$

To find the opposite of $yx+y^{2}$, find the opposite of each term.

$$5x^{2}-5xy-yx-y^{2}$$

Combine $-5xy$ and $-yx$ to get $-6xy$.

$$5x^{2}-6xy-y^{2}$$

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$5x^{2}-6xy-y^{2}$

Solution Steps

Use the distributive property to multiply $5x$ by $x-y$.

$$5x^{2}-5xy-y\left(x+y\right)$$

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

$$5x^{2}-5xy-\left(yx+y^{2}\right)$$

To find the opposite of $yx+y^{2}$, find the opposite of each term.

$$5x^{2}-5xy-yx-y^{2}$$

Combine $-5xy$ and $-yx$ to get $-6xy$.

$$5x^{2}-6xy-y^{2}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Evaluate

Solution Steps

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Solution Steps