Solve (25x)^(2)+11x-19xy+12y-(9x)^(2)+5y | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

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a⋅(b-2)=3b

Question

$${ \left(25x \right) }^{ 2 } +11x-19xy+12y- { \left(9x \right) }^{ 2 } +5y$$

Evaluate

$544x^{2}-19xy+11x+17y$

Solution Steps

Expand $\left(25x\right)^{2}$.

$$25^{2}x^{2}+11x-19xy+12y-\left(9x\right)^{2}+5y$$

Calculate $25$ to the power of $2$ and get $625$.

$$625x^{2}+11x-19xy+12y-\left(9x\right)^{2}+5y$$

Expand $\left(9x\right)^{2}$.

$$625x^{2}+11x-19xy+12y-9^{2}x^{2}+5y$$

Calculate $9$ to the power of $2$ and get $81$.

$$625x^{2}+11x-19xy+12y-81x^{2}+5y$$

Combine $625x^{2}$ and $-81x^{2}$ to get $544x^{2}$.

$$544x^{2}+11x-19xy+12y+5y$$

Combine $12y$ and $5y$ to get $17y$.

$$544x^{2}+11x-19xy+17y$$

Expand

$544x^{2}-19xy+11x+17y$

Solution Steps

Expand $\left(25x\right)^{2}$.

$$25^{2}x^{2}+11x-19xy+12y-\left(9x\right)^{2}+5y$$

Calculate $25$ to the power of $2$ and get $625$.

$$625x^{2}+11x-19xy+12y-\left(9x\right)^{2}+5y$$

Expand $\left(9x\right)^{2}$.

$$625x^{2}+11x-19xy+12y-9^{2}x^{2}+5y$$

Calculate $9$ to the power of $2$ and get $81$.

$$625x^{2}+11x-19xy+12y-81x^{2}+5y$$

Combine $625x^{2}$ and $-81x^{2}$ to get $544x^{2}$.

$$544x^{2}+11x-19xy+12y+5y$$

Combine $12y$ and $5y$ to get $17y$.

$$544x^{2}+11x-19xy+17y$$