Advertisements
Advertisements
Question
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
28ay2 – 175ax2
Solution
We have,
28ay2 – 175ax2 = 7a(4y2 – 25x2)
= 7a[(2y)2 – (5x)2]
= 7a(2y – 5x)(2y + 5x)
APPEARS IN
RELATED QUESTIONS
Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)
z2 – 16
672 – 372 = (67 – 37) × ______ = ______.
Using suitable identities, evaluate the following.
(35.4)2 – (14.6)2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
x2 – 9
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
1331x3y – 11y3x
Factorise the expression and divide them as directed:
(9x2 – 4) ÷ (3x + 2)
Factorise the expression and divide them as directed:
(3x4 – 1875) ÷ (3x2 – 75)
Verify the following:
(p – q)(p2 + pq + q2) = p3 – q3
Verify the following:
(m + n)(m2 – mn + n2) = m3 + n3
The product of two expressions is x5 + x3 + x. If one of them is x2 + x + 1, find the other.
