Advertisements
Advertisements
Question
Evaluate the following :
1.81 x 1.81 - 1.81 x 2.19 + 2.19 x 2.19
Advertisements
Solution
1.81 x 1.81 - 1.81 x 2.19 + 2.19 x 2.19
= (1.81)2 - (1.81 x 2.19) + (2.19)2
= (1.81)2 - (1.81 x 2.19) + (2.19)2 - (1.81 x 2.19) + (1.81 x 2.19)
= (1.81)2 - (1.81 x 2.19) + (2.19)2 - (1.81 x 2.19)
= (1.81 - 2.19)2 + (2.00 - 0.19)2 + (1.81 x 2.19)
= (0.38)2 + (4 - (0.19)2)
= 0.1444 + (4 - 0.0361)
= 0.1444 + 3.9639
= 4.1083.
APPEARS IN
RELATED QUESTIONS
Evaluate the following product without multiplying directly:
104 × 96
if `x^2 + 1/x^2 = 79` Find the value of `x + 1/x`
If \[x - \frac{1}{x} = - 1\] find the value of \[x^2 + \frac{1}{x^2}\]
The product (x2−1) (x4 + x2 + 1) is equal to
Use identities to evaluate : (998)2
Use the direct method to evaluate the following products :
(8 – b) (3 + b)
Use the direct method to evaluate :
`("z"-2/3)("z"+2/3)`
Evaluate the following without multiplying:
(103)2
If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :
`"a"^2 + (1)/"a"^2`
Factorise the following:
`(2x + 1/3)^2 - (x - 1/2)^2`
