Advertisements
Advertisements
Question
Use an expansion formula to find the value.
(102)2
Advertisements
Solution
It is known that (a + b)2 = a2 + 2ab + b2 and (a − b)2 = a2 − 2ab + b2
(102)2
= (100 + 2)2
= (100)2 + 2 × 100 × 2 + (2)2
= 10000 + 400 + 4
= 10404
RELATED QUESTIONS
Use a suitable identity to get the following products.
(− a + c) (− a + c)
Simplify (7m − 8n)2 + (7m + 8n)2
Simplify (2.5p − 1.5q)2 − (1.5p − 2.5q)2
Using identities, evaluate 297 × 303
Expand: `("p"/3 + "q"/4)^2`
Expand the following square, using suitable identities
(mn + 3p)2
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
x2 + 14x + 49
Factorise the following.
p2 + 14p + 13
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.
