Solve (3x-4y-2)(3x-4y-6) | 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

$$(3x-4y-2)(3x-4y-6)$$

Evaluate

$\left(3x-4y-6\right)\left(3x-4y-2\right)$

Solution Steps

Apply the distributive property by multiplying each term of $3x-4y-2$ by each term of $3x-4y-6$.

$$9x^{2}-12xy-18x-12xy+16y^{2}+24y-6x+8y+12$$

Combine $-12xy$ and $-12xy$ to get $-24xy$.

$$9x^{2}-24xy-18x+16y^{2}+24y-6x+8y+12$$

Combine $-18x$ and $-6x$ to get $-24x$.

$$9x^{2}-24xy-24x+16y^{2}+24y+8y+12$$

Combine $24y$ and $8y$ to get $32y$.

$$9x^{2}-24xy-24x+16y^{2}+32y+12$$

Expand

$9x^{2}-24xy-24x+16y^{2}+32y+12$

Solution Steps

Apply the distributive property by multiplying each term of $3x-4y-2$ by each term of $3x-4y-6$.

$$9x^{2}-12xy-18x-12xy+16y^{2}+24y-6x+8y+12$$

Combine $-12xy$ and $-12xy$ to get $-24xy$.

$$9x^{2}-24xy-18x+16y^{2}+24y-6x+8y+12$$

Combine $-18x$ and $-6x$ to get $-24x$.

$$9x^{2}-24xy-24x+16y^{2}+24y+8y+12$$

Combine $24y$ and $8y$ to get $32y$.

$$9x^{2}-24xy-24x+16y^{2}+32y+12$$