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Factorize the expression $16x^2-25y^2$.
The given algebraic expression is $16x^2-25y^2$.
We have to factorize the expression $16x^2-25y^2$.
Factorizing algebraic expressions:
Factorizing an algebraic expression implies writing the expression as a product of two or more factors. Factorization is the reverse of distribution.
An algebraic expression is factored completely when it is written as a product of prime factors.
$16x^2-25y^2$ can be written as,
$16x^2-25y^2=(4x)^2-(5y)^2$ [Since $16=4^2, 25=5^2$]
Here, we can observe that the given expression is a difference of two squares. So, by using the formula $a^2-b^2=(a+b)(a-b)$, we can factorize the given expression.
Hence, the given expression can be factorized as $(4x+5y)(4x-5y)$.
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