Advertisements
Advertisements
प्रश्न
Simplify (2.5p − 1.5q)2 − (1.5p − 2.5q)2
Advertisements
उत्तर
(2.5p − 1.5q)2 − (1.5p − 2.5q)2
= (2.5p)2 − 2(2.5p) (1.5q) + (1.5q)2 − [(1.5p)2 − 2(1.5p)(2.5q) + (2.5q)2]
[(a − b)2 = a2 − 2ab + b2 ]
= 6.25p2 − 7.5pq + 2.25q2 − [2.25p2 − 7.5pq + 6.25q2]
= 6.25p2 − 7.5pq + 2.25q2 − 2.25p2 + 7.5pq − 6.25q2]
= 4p2 − 4q2
APPEARS IN
संबंधित प्रश्न
Use a suitable identity to get the following products.
(a2 + b2) (− a2 + b2)
Using identities, evaluate 1022
Use the formula to multiply the following.
(x + y) (x − y)
Use the formula to multiply the following.
(a + 6) (a − 6)
Use the formula to find the value.
502 × 498
Expand: (51)2
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
x2 + 2x + 1
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
9x2 + 30x + 25
The area of a square is 9x2 + 24xy + 16y2. Find the side of the square.
If a + b = 25 and a2 + b2 = 225, then find ab.
