Question

Find the product of (2x 5y)(2x − 5y).

Answer 1

(2x+5y)(2x-5y)
=$4x^{2} -10xy+10xy-25$$y^{2}$
=$4x^{2}- 25y^{2}$

Answer 2

Answer:

The product of  $\left(2x+\:5y\right)\left(2x\:−\:5y\right)$ is

$4x^2-25y^2$

Step-by-step explanation:

Given : (2x+ 5y) and (2x−5y).

We have to find the product of $\left(2x+\:5y\right)\left(2x\:−\:5y\right)$

Consider , the given expression  $\left(2x+\:5y\right)\left(2x\:−\:5y\right)$

Applying the difference of two square formula,

$\left(a+b\right)\left(a-b\right)=a^2-b^2$

We have,

$=\left(2x\right)^2-\left(5y\right)^2$

Apply exponent rule, $\left(a\cdot \:b\right)^n=a^nb^n$

$=2^2x^2-5^2y^2$

Simplify, we have,

$=4x^2-25y^2$

Thus, the product of  $\left(2x+\:5y\right)\left(2x\:−\:5y\right)$ is

$4x^2-25y^2$