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1. Algebra
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Q9 of 59 Page 7

If , find the value of .

Here we use the identity of


(a + b)3 = a3 + 3a2b + 3ab2 + b3


∴


⇒


⇒


⇒


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7

Find 8x3 + 27y3 if 2x + 3y = 13 and xy = 6.

8

If x – y = – 6 and xy = 4, find the value of x3 – y3

10

If, find the value of .

11

Simplify:

(i) (2x + y + 4z)(4x2 + y2 + 16z2 – 2xy – 4yz – 8zx)


(ii) (x – 3y – 5z)(x2 + 9y2 + 25z2 + 3xy – 15yz + 5zx)

Questions · 59
1. Algebra
1 1 1 1 2 2 2 2 2 2 3 3 3 3 4 5 6 7 8 9 10 11 12 1 1 1 1 1 2 2 2 2 3 3 3 3 3 4 4 4 4 4 1 1 1 1 1 2 3 4 5 1 2 3 4 5 6 7 8
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