Solve 3x(2x-5y)+7y(2x-5y) | 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

$$3x(2x-5y)+7y(2x-5y)$$

Evaluate

$\left(2x-5y\right)\left(3x+7y\right)$

Solution Steps

Use the distributive property to multiply $3x$ by $2x-5y$.

$$6x^{2}-15xy+7y\left(2x-5y\right)$$

Use the distributive property to multiply $7y$ by $2x-5y$.

$$6x^{2}-15xy+14yx-35y^{2}$$

Combine $-15xy$ and $14yx$ to get $-xy$.

$$6x^{2}-xy-35y^{2}$$

Expand

$6x^{2}-xy-35y^{2}$

Solution Steps

Use the distributive property to multiply $3x$ by $2x-5y$.

$$6x^{2}-15xy+7y\left(2x-5y\right)$$

Use the distributive property to multiply $7y$ by $2x-5y$.

$$6x^{2}-15xy+14yx-35y^{2}$$

Combine $-15xy$ and $14yx$ to get $-xy$.

$$6x^{2}-xy-35y^{2}$$