Advertisements
Advertisements
Question
Factorise: 25(a - 5b)2 - 4(a - 3b)2
Sum
Advertisements
Solution
25(a - 5b)2 - 4(a - 3b)2
= [5 (a - 5b)]2 - [2(a - 3b)]2
= (5a - 25b)2 - (2a - 6b)2
= (5a - 25b + 2a - 6b)(5a - 25b - 2a + 6b)
.....[a2 - b2 = (a + b)(a - b)]
= (7a - 31b)(3a - 19b)
shaalaa.com
Factorisation by Difference of Two Squares
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorise: 16 - 9x2
Factorise: (a+ 2b)2 - a2
Factorise: 1 - 25 (a+ b)2
Factorise: 4(2a + b)2 - (a - b)2
Factorise: 25(2x + y)2 - 16(x - y)2
Factorise: `(7 3/10)^2 - (2 1/10)^2`
Factorise: 75(x + y)2 - 48(x - y)2
Factorise: a2 + 4a + 4 - b2
Factorise: (a - 3b)2 - 36 b2
Factorise a2b − b3. Using this result, find the value of 1012 × 100 − 1003.
