Advertisements
Advertisements
Question
Factorise: 15(2x - y)2 - 16(2x - y) - 15
Sum
Solution
15(2x - y)2 - 16(2x - y) - 15
= Let 2x - y = a, then
15a2 - 16a - 15
= 15a2 - 25a + 9a - 15
...{15 × (-15) = -225 , -225 = -25 × 9 , -16 = -25 + 9}
= 5a (3a - 5) + 3(3a - 5)
= (3a - 5)(5a + 3)
= [3 (2x - y) - 5][5 (2x - y) + 3]
= (6x - 3y - 5)(10x - 5y + 3)
shaalaa.com
Factorisation by Difference of Two Squares
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorise: (5a - 3b)2 - 16b2
Factorise: a4 - (a2 - 3b2)2
Factorise: (5a - 2b)2 - (2a - b)2
Factorise: 4(2a + b)2 - (a - b)2
Factorise: `(6 2/3)^2 - (2 1/3)^2`
Factorise: `(7 3/10)^2 - (2 1/10)^2`
Factorise: 75(x + y)2 - 48(x - y)2
factorise : a2 - (b - c)2
factorise : 16(5x + 4)2 -9(3x - 2)2
factorise: 25(x - 2y)2 - 4
