Algebra MCQs

If x² + y² - 4x - 4y + 8 = 0, then the value of x - y is?

If x + y = 14 and x³ + y³ = 1064, then the value of (x - y)² is:

The value of $$\frac{{0.0203 \times 2.92}}{{0.7 \times 0.0365 \times 2.9}} \div \frac{{{{\left( {12.12} \right)}^2} - {{\left( {8.12} \right)}^2}}}{{{{\left( {0.25} \right)}^2} + \left( {0.25} \right)\left( {19.99} \right)}}{\text{is:}}$$

If $$x \ne 0,$$   $$y \ne 0$$   and $$z \ne 0$$   and $$\frac{1}{{{x^2}}}$$  + $$\frac{1}{{{y^2}}}$$  + $$\frac{1}{{{z^2}}}$$  = $$\frac{1}{{xy}}$$  + $$\frac{1}{{yz}}$$  + $$\frac{1}{{zx}}$$  then the relation among x, y, z is?

If $$\root 3 \of a + \root 3 \of b = \root 3 \of c {\text{,}}$$    then the simplest value of $${\left( {a + b - c} \right)^3}$$   + $$27abc$$   is?

If a + b + c = 8 and ab + bc + ca = 12, then a³ + b³ + c³ - 3abc is equal to:

If x + y = 4, xy = 2, y + z = 5, yz = 3, z + x = 6 and zx = 4, then find the value of x³ + y³ + z³ - 3xyz.

Find the minimum value of x which the expression x³ - 7x² + 11x - 5 ≥ 0.

If $$4{b^2} + \frac{1}{{{b^2}}} = 2,$$    then the value of $$8{b^3} + \frac{1}{{{b^3}}}{\text{ is?}}$$