Advertisements
Advertisements
प्रश्न
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
a4 – (a – b)4
Advertisements
उत्तर
We have,
a4 – (a – b)4 = (a2)2 – [(a – b)2]2
= [a2 + (a – b)2][a2 – (a – b)2]
= [a2 + a2 + b2 – 2ab][a2 – (a2 + b2 – 2ab)]
= [2a2 + b2 – 2ab][–b2 + 2ab]
= (2a2 + b2 – 2ab)(2ab – b2)
APPEARS IN
संबंधित प्रश्न
The difference of the squares, (612 – 512 ) is equal to ______.
Factorise the following expressions
m2 + m – 72
Evaluate the following, using suitable identity
990 × 1010
Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)
z2 – 16
If X = a2 – 1 and Y = 1 – b2, then find X + Y and factorize the same
Using suitable identities, evaluate the following.
(9.7)2 – (0.3)2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`x^2/25 - 625`
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).
16x4 – 625y4
Factorise the expression and divide them as directed:
(9x2 – 4) ÷ (3x + 2)
