Advertisements
Advertisements
Question
Using (x + a) (x + b) = x2 + (a + b) x + ab, find 103 × 98
Advertisements
Solution
103 × 98 = (100 + 3) (100 − 2)
= (100)2 + [3 + (− 2)] (100) + (3) (− 2)
= 10000 + 100 − 6
= 10094
shaalaa.com
Is there an error in this question or solution?
RELATED QUESTIONS
Find the following squares by suing the identities.
`(2/3 m + 3/4 n)^2`
Simplify (2.5p − 1.5q)2 − (1.5p − 2.5q)2
Using a2 − b2 = (a + b) (a − b), find 1532 − 1472
Use the formula to multiply the following.
(x + y) (x − y)
Expand:
`("y" - 3/"y")^2`
If a + b = 5 and a2 + b2 = 13, then ab = ?
Using identity, find the value of (100.1)2
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
x2 + 14x + 49
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
a2x2 + 2ax + 1
Verify the following:
(5x + 8)2 – 160x = (5x – 8)2
