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 the sum of 3a2 – 2a + 5 and a2 – 5a – 7 from the sum of 5a2 -9a + 3 and 2a – a2 – 1
The perimeter of a rectangle is 28x3+ 16x2 + 8x + 4. One of its sides is 8x2 + 4x. Find the other side
If m = 9x2 - 4xy + 5y2 and n = - 3x2 + 2xy - y2 find: m + 2n
Simplify: 4x + 7y - (5y - 8) - 2x
Simplify: 5(x − 4) − 3(x − 4) + 7(x − 4)
Multiply: 4a + 5b and 4a - 5b
Copy and complete the following multi-plication:
2a - b + 3c
× 2a - 4b
Simplify: `"2p"/3 -"3p"/5`
Simplify: `"2b"/5 - "7b"/15 + "13b"/3`
Simplify: `"6k"/7 - ("8k"/9 - "k"/3)`
