Solve (27x+15y-43)(13x+12y-15)+(-3x-5y+37) | 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

$$(27x+15y-43)(13x+12y-15)+(-3x-5y+37)$$

Evaluate

$351x^{2}+519xy-967x+180y^{2}-746y+682$

Solution Steps

Apply the distributive property by multiplying each term of $27x+15y-43$ by each term of $13x+12y-15$.

$$351x^{2}+324xy-405x+195yx+180y^{2}-225y-559x-516y+645-3x-5y+37$$

Combine $324xy$ and $195yx$ to get $519xy$.

$$351x^{2}+519xy-405x+180y^{2}-225y-559x-516y+645-3x-5y+37$$

Combine $-405x$ and $-559x$ to get $-964x$.

$$351x^{2}+519xy-964x+180y^{2}-225y-516y+645-3x-5y+37$$

Combine $-225y$ and $-516y$ to get $-741y$.

$$351x^{2}+519xy-964x+180y^{2}-741y+645-3x-5y+37$$

Combine $-964x$ and $-3x$ to get $-967x$.

$$351x^{2}+519xy-967x+180y^{2}-741y+645-5y+37$$

Combine $-741y$ and $-5y$ to get $-746y$.

$$351x^{2}+519xy-967x+180y^{2}-746y+645+37$$

Add $645$ and $37$ to get $682$.

$$351x^{2}+519xy-967x+180y^{2}-746y+682$$

Expand

$351x^{2}+519xy-967x+180y^{2}-746y+682$

Solution Steps

Apply the distributive property by multiplying each term of $27x+15y-43$ by each term of $13x+12y-15$.

$$351x^{2}+324xy-405x+195yx+180y^{2}-225y-559x-516y+645-3x-5y+37$$

Combine $324xy$ and $195yx$ to get $519xy$.

$$351x^{2}+519xy-405x+180y^{2}-225y-559x-516y+645-3x-5y+37$$

Combine $-405x$ and $-559x$ to get $-964x$.

$$351x^{2}+519xy-964x+180y^{2}-225y-516y+645-3x-5y+37$$

Combine $-225y$ and $-516y$ to get $-741y$.

$$351x^{2}+519xy-964x+180y^{2}-741y+645-3x-5y+37$$

Combine $-964x$ and $-3x$ to get $-967x$.

$$351x^{2}+519xy-967x+180y^{2}-741y+645-5y+37$$

Combine $-741y$ and $-5y$ to get $-746y$.

$$351x^{2}+519xy-967x+180y^{2}-746y+645+37$$

Add $645$ and $37$ to get $682$.

$$351x^{2}+519xy-967x+180y^{2}-746y+682$$