Advertisements
Advertisements
प्रश्न
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`x^2/8 - y^2/18`
Advertisements
उत्तर
We have,
`x^2/8 - y^2/18 = 1/2(x^2/4 - y^2/9)`
= `1/2[(x/2)^2 - (y/3)^2]`
= `1/2(x/2 + y/3)(x/2 - y/3)`
APPEARS IN
संबंधित प्रश्न
(7x + 3)(7x – 4) = 49x2 – 7x – 12
Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)
z2 – 16
Simplify using identities
(3p + q)(3p – q)
Simplify (5x – 3y)2 – (5x + 3y)2
The value of (a + 1)(a – 1)(a2 + 1) is a4 – 1.
Using suitable identities, evaluate the following.
(9.7)2 – (0.3)2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
4x2 – 49y2
Factorise the expression and divide them as directed:
(x2 – 22x + 117) ÷ (x – 13)
Verify the following:
(p – q)(p2 + pq + q2) = p3 – q3
Verify the following:
`((3p)/7 + 7/(6p))^2 - (3/7p + 7/(6p))^2 = 2`
