Advertisements
Advertisements
Question
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
28ay2 – 175ax2
Advertisements
Solution
We have,
28ay2 – 175ax2 = 7a(4y2 – 25x2)
= 7a[(2y)2 – (5x)2]
= 7a(2y – 5x)(2y + 5x)
APPEARS IN
RELATED QUESTIONS
Using the identity (a + b)(a – b) = a2 – b2, find the following product
(1 + 3b)(3b – 1)
Evaluate the following, using suitable identity
990 × 1010
Using suitable identities, evaluate the following.
(132)2 – (68)2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
4x2 – 49y2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
1331x3y – 11y3x
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
x4 – y4
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
x4 – y4 + x2 – y2
Factorise the expression and divide them as directed:
(x3 + x2 – 132x) ÷ x(x – 11)
Factorise the expression and divide them as directed:
(2x3 – 12x2 + 16x) ÷ (x – 2)(x – 4)
Verify the following:
(a + b + c)(a2 + b2 + c2 – ab – bc – ca) = a3 + b3 + c3 – 3abc
