Advertisements
Advertisements
प्रश्न
Factorise p4 + q4 + p2q2.
Advertisements
उत्तर
We have, p4 + q4 + p2q2
= p4 + q4 + 2p2q2 – 2p2q2 + p2q2 ...[Adding and subtracting 2p2q2]
= p4 + q4 + 2p2q2 – p2q2
= [(p2)2 + (q2)2 + 2p2q2] – p2q2 ...[Using the identity, a2 + b2 + 2ab = (a + b)2]
= (p2 + q2)2 – (pq)2
= (p2 + q2 + pq)(p2 + q2 – pq) ...[Using the identity, a2 – b2 = (a + b)(a – b)]
APPEARS IN
संबंधित प्रश्न
Using identities, evaluate 1022
Using a2 − b2 = (a + b) (a − b), find (1.02)2 − (0.98)2
Expand `("x"+1/2)^2`
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
4x2 + 12x + 9
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
9x2 + 24x + 16
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
2x3 + 24x2 + 72x
The cost of a chocolate is Rs (x + y) and Rohit bought (x + y) chocolates. Find the total amount paid by him in terms of x. If x = 10, find the amount paid by him.
If p + q = 12 and pq = 22, then find p2 + q2.
Verify the following:
(a + b)(a + b)(a + b) = a3 + 3a2b + 3ab2 + b3
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.
