Advertisements
Advertisements
Question
Using a2 − b2 = (a + b) (a − b), find 512 − 492
Advertisements
Solution
512 − 492 = (51 + 49) (51 − 49)
= (100) (2) = 200
APPEARS IN
RELATED QUESTIONS
Simplify (4m + 5n)2 + (5m + 4n)2
Simplify (ab + bc)2 − 2ab2c
Using a2 − b2 = (a + b) (a − b), find (1.02)2 − (0.98)2
Use an expansion formula to find the value.
(97)2
Use the formula to find the value.
502 × 498
Use a formula to multiply of (2a – 13)(2a + 13)
Using identity, find the value of (100.1)2
The difference of the squares of two consecutive numbers is their sum.
Verify the following:
(7p – 13q)2 + 364pq = (7p + 13q)2
Take suitable number of cards given in the adjoining diagram [G(x × x) representing x2, R(x × 1) representing x and Y(1 × 1) representing 1] to factorise the following expressions, by arranging the cards in the form of rectangles:
- 2x2 + 6x + 4
- x2 + 4x + 4.
Factorise 2x2 + 6x + 4 by using the figure.

Calculate the area of figure.
