Advertisements
Advertisements
प्रश्न
Verify the following:
(7p – 13q)2 + 364pq = (7p + 13q)2
Advertisements
उत्तर
Taking L.H.S. = (7p – 13q)2 + 364pq
= (7p)2 + (13q)2 – 2 × 7p × 13q + 364q
= (7p)2 + (13q)2 – 182pq + 364pq
= (7p)2 + (13q)2 + 182pq
= (7p)2 + (13q)2 + 2 × 7p × 13q
= (7p + 13q)2
= R.H.S.
Hence verified.
APPEARS IN
संबंधित प्रश्न
Find the following squares by suing the identities
(xy + 3z)2
Using a2 − b2 = (a + b) (a − b), find 12.12 − 7.92
Using (x + a) (x + b) = x2 + (a + b) x + ab, find 9.7 × 9.8
Use a formula to multiply of (x - 5)(x + 5).
The sum of areas of two squares with sides 4a and 4b is ______.
The difference of the squares of two consecutive numbers is their sum.
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
a2x2 + 2ax + 1
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
4x4 + 12x3 + 9x2
Verify the following:
(5x + 8)2 – 160x = (5x – 8)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.
