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
\(4x^2-25y^2\)
