Question

Find the product of (2x 5y)(2x − 5y).

Answer 1

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

`4x^2-25y^2`

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`

Answer 2

(2x+5y)(2x-5y)
=
`4x^(2) -10xy+10xy-25`
`y^(2)`
=
`4x^(2)- 25y^(2)`