Advertisements
Advertisements
Question
Expand `("x"+1/2)^2`
Advertisements
Solution
It is known that (a + b)2 = a2 + 2ab + b2 and (a − b)2 = a2 − 2ab + b2.
`("x"+1/2)^2`
= `("x")^2+2xx("x")xx(1/2)+(1/2)^2`
= `"x"^2+"x"+1/4`
RELATED QUESTIONS
Use a suitable identity to get the following products.
(6x − 7) (6x + 7)
Using identities, evaluate 712
Using (x + a) (x + b) = x2 + (a + b) x + ab, find 5.1 × 5.2
Use the formula to find the value.
54 × 46
Expand: `("y" - 3/"y")^2`
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
a2x3 + 2abx2 + b2x
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
`9x^2 + 2xy + y^2/9`
Factorise the following.
x2 + 15x + 26
The height of a triangle is x4 + y4 and its base is 14xy. Find the area of the triangle.
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.
