Advertisements
Advertisements
Question
Expand:
`("p"/3 + "q"/4)^2`
Advertisements
Solution
`("p"/3 + "q"/4)^2`
Using the identity (a + b)2
= a2 + 2ab + b2
= `("p"/3)^2 + 2 xx "p"/3 xx "q"/4 + ("q"/4)^2`
`= "p"^2/9 + "pq"/6 + "q"^2/16`
APPEARS IN
RELATED QUESTIONS
Use a suitable identity to get the following products
(2a − 7) (2a − 7)
Use a suitable identity to get the following products.
`(x/2 + (3y)/4)(x/2 + (3y)/4)`
Find the following squares by suing the identities.
(b − 7)2
Using (x + a) (x + b) = x2 + (a + b) x + ab, find 9.7 × 9.8
Use the formula to find the value.
502 × 498
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
9x2 + 30x + 25
Factorise the following.
y2 + 18x + 65
The height of a triangle is x4 + y4 and its base is 14xy. Find the area of the triangle.
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:
- 2x2 + 6x + 4
- x2 + 4x + 4.
Factorise 2x2 + 6x + 4 by using the figure.
Calculate the area of figure.
