Question

give answer fast please​

Answer 1

Solution↷

$4p {}^{2} - 9q {}^{2} \\ (2p) {}^{2} - (3q) {}^{2} \\ \color{lime}Using \: Identity \downarrow \\ \color{green}\: a {}^{2} - b {}^{2} = (a + b)(a - b) \\ = (2p + 3q)(2p - 3q) \\ \sf \: Hence, \: Option \: d)(2p + 3q)(2p - 3q) \\ \sf \: is \: Correct.$

Answer 2

Question

Factorise 4p²-9q²

What to calculate

we have to factorise this term 4p²-9q²

Answer

Step by step explanation

4p²-9q²

We here see that 4 and 9 is the square of 2&3 respectively.So,we can also write 4 as 2² and 9 as 3².

Now,rewrite the given equation:-

4p²-9q²

New Equation=>(2p-3q)²

Now,here observe that the given equation is in the form of (a-b)² identity.

[(a-b)²=a²+b²-2ab]

Now , (2p-3q)²=(2p)²+(3q)²-2(2p)(3q)

=>4p²+9q²-12pq.

So,the correct option is (b) (2p-3q)²

Other Identities

(a-b)²=a²+b²+2ab

(a+b)³=a³+b³+3a²b+3ab²

(x+a)(x-b)=x²+(a-b)x-ab

(x-a)(x-b)=x²-(a+b)x+ab