Advertisements
Advertisements
Question
Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)
9 – 4y2
Advertisements
Solution
9 – 4y2 = 32 – 22y2
= 32 – (2y)2
let a = 3 and b = 2y, then
a2 – b2 = (a + b)(a – b)
∴ 32 – (2y)2 = (3 + 2y)(3 – 2y)
9 – 4y2 = (3 + 2y)(3 – 2y)
APPEARS IN
RELATED QUESTIONS
Choose the right answers from the option:
The difference of the squares, (612 – 512 ) is equal to ______.
(7x + 3)(7x – 4) = 49x2 – 7x – 12
Using identity, find the value of (1.9) × (2.1)
The value of p for 512 – 492 = 100p is 2.
Using suitable identities, evaluate the following.
9.8 × 10.2
Using suitable identities, evaluate the following.
(9.7)2 – (0.3)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).
(a – b)2 – (b – c)2
Factorise the expression and divide them as directed:
(3x2 – 48) ÷ (x – 4)
The base of a parallelogram is (2x + 3 units) and the corresponding height is (2x – 3 units). Find the area of the parallelogram in terms of x. What will be the area of parallelogram of x = 30 units?
