Advertisements
Advertisements
Question
Using suitable identities, evaluate the following.
(35.4)2 – (14.6)2
Advertisements
Solution
We have,
(35.4)2 – (14.6)2 = (35.4 + 14.6)(35.4 – 14.6) ...[Using the identity, (a + b)(a – b) = a2 – b2]
= 50 × 20.8
= 1040
APPEARS IN
RELATED QUESTIONS
Expand: 102 x 98
Factorise : 16p4 – 1
Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)
z2 – 16
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`x^2/25 - 625`
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
16x4 – 81
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`x^2 - y^2/100`
Factorise the expression and divide them as directed:
(x3 + x2 – 132x) ÷ x(x – 11)
The sum of (x + 5) observations is x4 – 625. Find the mean of the observations.
Verify the following:
(ab + bc)(ab – bc) + (bc + ca)(bc – ca) + (ca + ab)(ca – ab) = 0
The product of two expressions is x5 + x3 + x. If one of them is x2 + x + 1, find the other.
