Advertisements
Advertisements
प्रश्न
Evaluate: (a + 1)(a2 - a + 1) and (a - 1)(a2 + a + 1)
Advertisements
उत्तर
(a + 1)(a2 - a + 1) and (a - 1)(a2 + a + 1)
= a (a2 - a + 1) + 1 (a2 - a + 1)
= a3 - a2 + a + a2 - a + 1
= a3 + 1
(a - 1)(a2 + a + 1)
= a(a2 + a + 1) - 1(a2 + a + 1)
= a3 + a2 + a - a2 - a - 1
= a3 - 1
Now, (a + 1)(a2 - a + 1) + (a - 1)(a2 + a + 1)
= a3 + 1 + a3 - 1
= 2a3
APPEARS IN
संबंधित प्रश्न
Subtract: 4p + p2 from 3p2 - 8p
Subtract: a2 - 3ab - 6b2 from 2b2 - a2 + 2ab
Subtract – 5a2 – 3a + 1 from the sum of 4a2 + 3 – 8a and 9a – 7.
The perimeter of a triangle is 14a2 + 20a + 13. Two of its sides are 3a2 + 5a + 1 and a2 + 10a – 6. Find its third side.
Copy and complete the following multi-plication:
9x + 5y
× - 3xy
Copy and complete the following multi-plication:
3m2 + 6m - 2n
× 5n - 3m
Evaluate: (a + 5)(3a - 2)(5a + 1)
Simplify: `"3y"/4 -"y"/5`
Simplify: `"4a"/7 + "2a"/3 - "a"/7`
Simplify: `(2"p" + "p"/7) div ("9p"/10 + "4p")`
