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15 votes
Factors of 4p^2 - 9q^2 are

User Jauch
by
3.1k points

2 Answers

6 votes

Answer:

(2p+3q) (2p-3q)

Explanation:


4p^2-9q^2


4p^2=(2p)^2


4p^2=(3q)^2


=\left(2p\right)^2-\left(3q\right)^2


\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)


\left(2p\right)^2-\left(3q\right)^2=\left(2p+3q\right)\left(2p-3q\right)


=\left(2p+3q\right)\left(2p-3q\right)

Answer =
\left(2p+3q\right)\left(2p-3q\right)

~Learn with Lenvy~

User Nuffin
by
3.8k points
7 votes

Answer:

(2p + 3q)(2p - 3q)

Explanation:

This is of the form :-

  • a² - b² = (a + b)(a - b)

4p² - 9q² = (2p + 3q)(2p - 3q)

User Anthony Tuininga
by
3.8k points