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
Find the excess of 4m2 + 4n2 + 4p2 over m2+ 3n2 – 5p2
If x = 4a2 + b2 - 6ab; y = 3b2 - 2a2 + 8ab and z = 6a2 + 8b2 - 6ab find: x + y + z
If m = 9x2 - 4xy + 5y2 and n = - 3x2 + 2xy - y2 find: m + 2n
If m = 9x2 - 4xy + 5y2 and n = - 3x2 + 2xy - y2 find: m - 3n
Simplify: 4(3x - 8) - 3(5x + 3) - 2(6x - 8)
Multiply: 6a - 5b and - 2a
Copy and complete the following multi-plication:
3a + 2b
× - 3xy
Copy and complete the following multi-plication:
3m2 + 6m - 2n
× 5n - 3m
Multiply: a3 - 4ab and 2a2b
Simplify: `"4a"/7 + "2a"/3 - "a"/7`
