Question

factorise. 4p2 -9q2​

Answer 1

$4p {}^{2} - 9q {}^{2} \\ \\ = (2p) {}^{2} - (3q) {}^{2} \\ \\ = (2p - 3q)(2p + 3q)$

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Answer 2

Given:

We have given an equation .

To Find:

We need to factorize the given equation?

Step-by-step explanation:

Factorization: The operation of  the resolving an quantity into tow or more factors also  a product is  obtained by the factorization. Other Word from which factorization. in factorization we divide the quantity in simplest form.

• We have given equation of the form

                          $4p^2-9q^2$

• Now we can write the equation in the form of

                       $(2p)^2-(3q)^2$

• We know the formula

                 $a^2-b^2=(a-b)(a+b)$

• Now we will compare given equation with the above equation we get a=2p and b=3q then put it in equation

              $(2p)^2-(3q)^2=(2p+3q)(2p-3q)$

Thus factors are (2p+3q)(2p-3q)