Question

Q.4.Factorise.
4p2 – 9q2​

Answer 1

Answer:

your ans

(a+b)(a-b) =a^2-b^2

4p2-9q2=(2p+3q)(2q-3q)

Answer 2

Question:-

Factorise:

$4( {p)}^{2} - 9{(q)}^{2}$

Solution:-

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

We have,

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

So,

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

Final Answer:-

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