Advertisements
Advertisements
प्रश्न
Simplify:
(a – b) (a2 + b2 + ab) – (a + b) (a2 + b2 – ab)
Advertisements
उत्तर
We have,
(a – b) (a2 + b2 + ab) – (a + b) (a2 + b2 – ab) = a(a2 + b2 + ab) – b(a2 + b2 + ab) – a(a2 + b2 – ab) – b(a2 + b2 – ab)
= a3 + ab2 + a2b – ba2 – b3 – ab2 – a3 – ab2 + a2b – ba2 – b3 + ab2
= (a3 – a3) + (– b3 – b3) + (ab2 – ab2) + (a2b – a2b + a2b – a2b)
= 0 – 2b3 + 0 + 0 + 0
= – 2b3
APPEARS IN
संबंधित प्रश्न
Show that (3x + 7)2 − 84x = (3x − 7)2
Simplify the following using the identities: \[\frac{8 . 63 \times 8 . 63 - 1 . 37 \times 1 . 37}{0 . 726}\]
Find the value of x, if 5x = (50)2 − (40)2.
Find the following product: (z2 + 2) (z2 − 3)
Simplify: (x – 2y + 3z) (x2 + 4y2 + 9z2 + 2xy + 6yz – 3xz)
Multiply the following:
(3x2 + 4x – 8), (2x2 – 4x + 3)
Using suitable identities, evaluate the following.
(98)2
Using suitable identities, evaluate the following.
105 × 95
Perform the following division:
(– qrxy + pryz – rxyz) ÷ (– xyz)
Match the expressions of column I with that of column II:
| Column I | Column II |
| (1) (21x + 13y)2 | (a) 441x2 – 169y2 |
| (2) (21x – 13y)2 | (b) 441x2 + 169y2 + 546xy |
| (3) (21x – 13y)(21x + 13y) | (c) 441x2 + 169y2 – 546xy |
| (d) 441x2 – 169y2 + 546xy |
