Question

Find the product of the binomial by using a suitable identity. (5p² +3q²) (5p² – 3q²)​

Answer 1

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Answer 2

Given equation is,

$(5p^{2} +3q^{2} ) (5p^{2} -3q^{2})$

Now we have to find the product of that two expressions.

$(5p^{2} +3q^{2} ) (5p^{2} -3q^{2})$

The above equation is in the form of $(a+b)(a-b)$

This  $(a+b)(a-b)$ can be written as,

$(a+b)(a-b)=a^{2}- b^{2}$

Here,

$a=5p^{2} ,b=3q^{2}$

Substitute these values in the formula,

We get,

$(5p^{2} )^{2} -(3q^{2}) ^{2}$

$25p^{4} -9q^{4}$

Therefore, the final answer after finding the product of the binomial by using the identity is $25p^{4} -9q^{4}$.