Solve ((15x - 2y)(15x + 2y))/35 | 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

$$\frac{(15x-2y)(15x+2y)}{35}$$

Evaluate

$\frac{45x^{2}}{7}-\frac{4y^{2}}{35}$

Solution Steps

Consider $\left(15x-2y\right)\left(15x+2y\right)$. Multiplication can be transformed into difference of squares using the rule: $\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}$.

$$\frac{\left(15x\right)^{2}-\left(2y\right)^{2}}{35}$$

Expand $\left(15x\right)^{2}$.

$$\frac{15^{2}x^{2}-\left(2y\right)^{2}}{35}$$

Calculate $15$ to the power of $2$ and get $225$.

$$\frac{225x^{2}-\left(2y\right)^{2}}{35}$$

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

$$\frac{225x^{2}-2^{2}y^{2}}{35}$$

Calculate $2$ to the power of $2$ and get $4$.

$$\frac{225x^{2}-4y^{2}}{35}$$

Expand

$\frac{45x^{2}}{7}-\frac{4y^{2}}{35}$

Solution Steps

Consider $\left(15x-2y\right)\left(15x+2y\right)$. Multiplication can be transformed into difference of squares using the rule: $\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}$.

$$\frac{\left(15x\right)^{2}-\left(2y\right)^{2}}{35}$$

Expand $\left(15x\right)^{2}$.

$$\frac{15^{2}x^{2}-\left(2y\right)^{2}}{35}$$

Calculate $15$ to the power of $2$ and get $225$.

$$\frac{225x^{2}-\left(2y\right)^{2}}{35}$$

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

$$\frac{225x^{2}-2^{2}y^{2}}{35}$$

Calculate $2$ to the power of $2$ and get $4$.

$$\frac{225x^{2}-4y^{2}}{35}$$