Advertisements
Advertisements
Question
Factorise: 4x2 – 9y2
Solution
4x2 – 9y2 = 22x2 – 32y2 = (2x)2 – (3y)2
Substituting a = 2x and b = 3y in
(a2 – b2) = (a + b)(a – b), we have
(2x)2 – (3y)2 = (2x + 3y)(2x – 3y)
∴ Factors of 4x2 – 9y2 are (2x + 3y) and (2x – 3y)
APPEARS IN
RELATED QUESTIONS
The product of (x + 5) and (x – 5) is ____________
(7x + 3)(7x – 4) = 49x2 – 7x – 12
Evaluate the following, using suitable identity
990 × 1010
(a + b)(a – b) = a2 – b2
Using suitable identities, evaluate the following.
(35.4)2 – (14.6)2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`y^3 - y/9`
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`(4x^2)/9 - (9y^2)/16`
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
p5 – 16p
Factorise the expression and divide them as directed:
(3x2 – 48) ÷ (x – 4)
Factorise the expression and divide them as directed:
(3x4 – 1875) ÷ (3x2 – 75)
