Advertisements
Advertisements
Question
Verify the following:
(a2 – b2)(a2 + b2) + (b2 – c2)(b2 + c2) + (c2 – a2) + (c2 + a2) = 0
Advertisements
Solution
Taking L.H.S. = (a2 – b2)(a2 + b2) + (b2 – c2)(b2 + c2) + (c2 – a2) + (c2 + a2)
= (a4 – b4 + b4 – c4 + c4 – a4) ...[Using the identity, (a – b)(a + b) = a2 – b2]
= 0
= R.H.S.
Hence verified.
APPEARS IN
RELATED QUESTIONS
Expand: (3x + 4y)(3x - 4y)
Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)
z2 – 16
The pathway of a square paddy field has 5 m width and length of its side is 40 m. Find the total area of its pathway. (Note: Use suitable identity)
Using suitable identities, evaluate the following.
(339)2 – (161)2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
49x2 – 36y2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`y^3 - y/9`
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`x^2/8 - y^2/18`
Factorise the expression and divide them as directed:
(x2 – 22x + 117) ÷ (x – 13)
The sum of (x + 5) observations is x4 – 625. Find the mean of the observations.
Find the value of `(6.25 xx 6.25 - 1.75 xx 1.75)/(4.5)`
