How to solve x(6x-y)-y(2x-4y)=

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.

Solve x(6x-y)-y(2x-4y)= | Equatix

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Question

$$x(6x-y)-y(2x-4y)=$$

Evaluate

$6x^{2}-3xy+4y^{2}$

Solution Steps

Use the distributive property to multiply $x$ by $6x-y$.

$$6x^{2}-xy-y\left(2x-4y\right)$$

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

$$6x^{2}-xy-\left(2yx-4y^{2}\right)$$

To find the opposite of $2yx-4y^{2}$, find the opposite of each term.

$$6x^{2}-xy-2yx-\left(-4y^{2}\right)$$

The opposite of $-4y^{2}$ is $4y^{2}$.

$$6x^{2}-xy-2yx+4y^{2}$$

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

$$6x^{2}-3xy+4y^{2}$$

Show Solution

Expand

$6x^{2}-3xy+4y^{2}$

Solution Steps

Use the distributive property to multiply $x$ by $6x-y$.

$$6x^{2}-xy-y\left(2x-4y\right)$$

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

$$6x^{2}-xy-\left(2yx-4y^{2}\right)$$

To find the opposite of $2yx-4y^{2}$, find the opposite of each term.

$$6x^{2}-xy-2yx-\left(-4y^{2}\right)$$

The opposite of $-4y^{2}$ is $4y^{2}$.

$$6x^{2}-xy-2yx+4y^{2}$$

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

$$6x^{2}-3xy+4y^{2}$$

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