Solve (8x - 5y)(8x + 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

$$(8x-5y)(8x+5y)$$

Evaluate

$64x^{2}-25y^{2}$

Solution Steps

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

$$\left(8x\right)^{2}-\left(5y\right)^{2}$$

Expand $\left(8x\right)^{2}$.

$$8^{2}x^{2}-\left(5y\right)^{2}$$

Calculate $8$ to the power of $2$ and get $64$.

$$64x^{2}-\left(5y\right)^{2}$$

Expand $\left(5y\right)^{2}$.

$$64x^{2}-5^{2}y^{2}$$

Calculate $5$ to the power of $2$ and get $25$.

$$64x^{2}-25y^{2}$$

Expand

$64x^{2}-25y^{2}$

Solution Steps

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

$$\left(8x\right)^{2}-\left(5y\right)^{2}$$

Expand $\left(8x\right)^{2}$.

$$8^{2}x^{2}-\left(5y\right)^{2}$$

Calculate $8$ to the power of $2$ and get $64$.

$$64x^{2}-\left(5y\right)^{2}$$

Expand $\left(5y\right)^{2}$.

$$64x^{2}-5^{2}y^{2}$$

Calculate $5$ to the power of $2$ and get $25$.

$$64x^{2}-25y^{2}$$