Advertisements
Advertisements
प्रश्न
If a + b = 10 and ab = 18, find the value of a2 + b2
Advertisements
उत्तर
We have (a + b)2 = a2 + 2ab + b2
(a + b)2 = a2 + b2 + 2ab
given a + b = 0 and ab = 18
102 = a2 + b2 + 2(18)
100 = a2 + b2 + 36
100 – 36 = a2 + b2
a2 + b2 = 64
APPEARS IN
संबंधित प्रश्न
Use a suitable identity to get the following products.
(1.1m − 0.4) (1.1 m + 0.4)
Simplify (4m + 5n)2 + (5m + 4n)2
Simplify (ab + bc)2 − 2ab2c
Simplify (m2 − n2m)2 + 2m3n2
Using (x + a) (x + b) = x2 + (a + b) x + ab, find 9.7 × 9.8
Use the formula to find the value.
97 × 103
Factorise the following expressions
x2 + 14x + 49
Verify the following:
(5x + 8)2 – 160x = (5x – 8)2
Factorise p4 + q4 + p2q2.
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: x2 + 4x + 4. Factorise 2x2 + 6x + 4 by using the figure.

Calculate the area of figure.
