Advertisements
Advertisements
Question
Using identities, evaluate 1022
Solution
1022 = (100 + 2)2
= (100)2 + 2(100)(2) + (2)2 [(a + b)2 = a2 + 2ab + b2 ]
= 10000 + 400 + 4 = 10404
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Expand `("a"/2+"b"/3)^2`
Use an expansion formula to find the value.
(97)2
Use a formula to multiply of (2t – 5)(2t + 5)
Expand: (2x + 3y)2
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
4x2 + 4x + 1
The area of a square is given by 4x2 + 12xy + 9y2. Find the side of the square.
The height of a triangle is x4 + y4 and its base is 14xy. Find the area of the triangle.
If p + q = 12 and pq = 22, then find p2 + q2.
Verify the following:
(a + b)(a + b)(a + b) = a3 + 3a2b + 3ab2 + b3
What should be added to 4c(– a + b + c) to obtain 3a(a + b + c) – 2b(a – b + c)?