Advertisements
Advertisements
Question
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`(4x^2)/9 - (9y^2)/16`
Solution
We have,
`(4x^2)/9 - (9y^2)/16 = ((2x)/3)^2 - ((3y)/4)^2`
= `((2x)/3 + (3y)/4)((2x)/3 - (3y)/4)`
APPEARS IN
RELATED QUESTIONS
(x + 4) and (x – 5) are the factors of ___________
Using the identity (a + b)(a – b) = a2 – b2, find the following product
(4 – mn)(mn + 4)
Using the identity (a + b)(a – b) = a2 – b2, find the following product
(6x + 7y)(6x – 7y)
Evaluate the following, using suitable identity
297 × 303
If X = a2 – 1 and Y = 1 – b2, then find X + Y and factorize the same
Using suitable identities, evaluate the following.
(339)2 – (161)2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
y4 – 625
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
(a – b)2 – (b – c)2
Verify the following:
(a2 – b2)(a2 + b2) + (b2 – c2)(b2 + c2) + (c2 – a2) + (c2 + a2) = 0
Find the value of a, if 8a = 352 – 272
