Advertisements
Advertisements
Question
Using (x + a) (x + b) = x2 + (a + b) x + ab, find 103 × 104
Advertisements
Solution
103 × 104 = (100 + 3) (100 + 4)
= (100)2 + (3 + 4) (100) + (3) (4)
= 10000 + 700 + 12 = 10712
RELATED QUESTIONS
Simplify (2.5p − 1.5q)2 − (1.5p − 2.5q)2
Use the formula to multiply the following.
(x + y) (x − y)
Use the formula to multiply the following.
`(x/5+6)(x/5-6)`
Factors of 9x2 + 6xy are
Evaluate the following, using suitable identity
1032
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
4x2 + 4x + 1
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
2x3 + 24x2 + 72x
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
`x^2/4 + 2x + 4`
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: x2 + 4x + 4. Factorise 2x2 + 6x + 4 by using the figure.
Calculate the area of figure.
