Answer:
(2p + 3q)(2p - 3q)
Step-by-step explanation:
This is of the form :-
4p² - 9q² = (2p + 3q)(2p - 3q)
Answer:
(2p+3q) (2p-3q)
Step-by-step explanation:
[tex]4p^2-9q^2[/tex]
[tex]4p^2=(2p)^2[/tex]
[tex]4p^2=(3q)^2[/tex]
[tex]=\left(2p\right)^2-\left(3q\right)^2[/tex]
[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]
[tex]\left(2p\right)^2-\left(3q\right)^2=\left(2p+3q\right)\left(2p-3q\right)[/tex]
[tex]=\left(2p+3q\right)\left(2p-3q\right)[/tex]
Answer = [tex]\left(2p+3q\right)\left(2p-3q\right)[/tex]
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