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# Algebra || 16.02.2021

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Question 1

If xa.xb = xab, then a(b − 2) + b(a − 2) is where x ≠ 1.

Question 2

If (27x3 – 343y3) ÷ (3x – 7y) = Ax2 + By2 + 7Cyx, then the value of (4A – B + 5C) is:

Question 3

If x is real and x4 – 5x2 – 1 = 0, then the value of is:

Question 4

If a + b + c = 4 and ab + bc + ca = 1, then the value of a3 + b3 + c3 – 3abc is:

Question 5

If 4x2 – 6x + 1 = 0, then the value of 8x3 + (8x3)-1 is:

Question 6

If a6+3a4-27a3+3a2+1=0 & a10- xa5+1=0 then find the value of x.

Question 7

If , then the value of 6m-6m2+m3 is:

Question 8

If (x – 6)3 + (x – 4)3 + (x – 5)3 = (3x – 15)(x – 4)(x – 6), then find the value of x?

Question 9

If (x+2) is a factor of x3 + 4x2 – 10x + k, then find the value of k.

Question 10

If 4(x+y) = 1024 and (1024)(x-y) = 4, then what is the value of x and y?
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