Advertisements
Advertisements
Question
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
9x2 – (3y + z)2
Advertisements
Solution
We have,
9x2 – (3y + z)2 = [(3x)2 – (3y + z)2]
= [3x – (3y + z)][3x + (3y + z)]
= [3x – 3y – z][3x + 3y + z]
APPEARS IN
RELATED QUESTIONS
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
Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)
x4 – y4
Simplify using identities
(3p + q)(3p – q)
The value of (a + 1)(a – 1)(a2 + 1) is a4 – 1.
Using suitable identities, evaluate the following.
(9.7)2 – (0.3)2
Using suitable identities, evaluate the following.
(729)2 – (271)2
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:
(3x2 – 48) ÷ (x – 4)
