Mathematics Questions

What is the sum of coefficients in (x-y)^2?

Factorize x^3 - 7x + 6.

If x^2 + x + 1 = 0, find x^3.

Find the value of (a-b)^3 + (b-c)^3 + (c-a)^3.

If x+y+z=6 and x^2+y^2+z^2=14, find xy+yz+zx.

Factorize 2x^2 + 7x + 3.

What is the HCF of a^3b - ab^3 and a^2b - ab^2?

Simplify (x+2)^3 - (x-2)^3.

Find the remainder when x^4 + x^3 + x^2 + x + 1 is divided by x.

If x-2 is a factor of x^2 + ax - 6, find a.

Expand (a+b+c)^2.

Find the degree of 0x^5 + 3x^4 - x + 2.

What is the root of the polynomial P(x) = 7x - 14?

A two-digit number is such that product of its digits is 18. If 27 is subtracted from number, digits interchange.

If roots of x^2 + ax + b = 0 are tan 30° and tan 15°, find 2 + b - a.

If α, β are roots of x^2 + px + q = 0, find (α-β)^2.

Solve for x: 2^(2x) - 10 ⋅ 2^x + 16 = 0.

Find the condition for ax^2 + bx + c = 0 to have roots in ratio 3:4.

If x^2 - 5x + 1 = 0, find the value of x^2 + 1/x^2.

If the roots of (b-c)x^2 + (c-a)x + (a-b) = 0 are equal, find the relation between a, b, c.