If 4x² + y² = 40 and xy = 6, then find the value of 2x + y.

If a + 2b + 3c = 0, then what is the value of (a³ + 8b³ + 27c³ )?

If 8x³ + 27y³ + 64z³ = 72 xyz, then the relation between x, y and z can be:

If x² = b - ax and x³(x³ + c) = d, then which of the following can be the value of c and d?

If 2a + 5b = 12 and ab = 3, find the value of 4a² + 25b².

If x - 2y = 3 and 2xy = 5, then find the value of (x + 2y)².

If a = 2022, b = 2021 and c = 2020, then value of a² + b² + c² – ab – bc – ca is:

If ( a - 18 )² + ( b - 12 )²  + ( c - 6 )² = 0, then find the value of ( a + b + c )^1/2.

If α + β + γ = 0, Then \(\frac{3β^2 + α^2 + γ^2}{2β^2 - αγ}\) = ?

If a - b = 3 and a³ - b³ = 999, then Find the value of a² - b².

If a + b = 25, then (a – 15)³ + (b – 10)³ is:

If a + b + c = 10 and ab + bc + ca = 30, then the value of a² + b² + c² is:

If \(\frac{a}{b}+\frac{b}{a}\) = -1, a ≠ 0, b ≠ 0, then the value of 6(a³ - b³) is:

If x + y = 14, then the value of x³ + y³ + 42xy is:

If x + y = 36, then find (x − 27)³ + (y − 9)³.

If a + b = 11 and ab = 35, then what is the value of (a⁴ + b⁴)?

If a + b = 5 and ab = 6, then find 3(a² + b²).

If (a³ + b³ + c³ - 3abc) = 405, and (a + b + c) = 15, find the value of (a - b)² + (b - c)² + (c - a)².

If x, y, z are the three factors of a³ - 7a - 6, then value of x + y + z will be

If (a + b + c) = 16, and (a² + b² + c²) = 90, find the value of (ab + bc + ca).

If a + b + c = 6, a² + b² + c² = 14 and ab + bc + ca = 11, then what is the value of a³ +  b³  + c³ - 3abc?

If a² + b² + 49c² + 18 = 2(b - 28c - a), then the value of (a - b - 7c) is:

If x - y = 1 and x² + y² = 41 where x,y ≥ 0, then the value of x + y will be :

If 4x² + y² = 40 and xy = 6, find the positive value of 2x + y.

What is the possible value of (a + b + c) - 3, if a² + b² + c² = 9 and ab + bc + ca = 8 ?

If a² + b² = 65 and ab = 8, a > b > 0, then find the value of a² - b².

Find the value of (a³ + b³+ c³ - 3abc), where a = 335, b= 215 and c = 180.

If a – b = 2 and a³ – b³ = 80, then what will be the value of ab?

What is the value of a³ + b³ + c³ if (a + b + c) = 0?

If 2a + 3b = 10 and ab = 3, then find the value of 4a² + 9b²

If (4x - 7y) = 11 and xy = 8, what is the value of 16x² + 49y², given that x and y are positive numbers?

If \(x^2+y^2+z^2=xy+yz+zx\) and x = 1, then find the value of \(\frac{10x^4+5y^4+7z^4}{13x^2y^2+6y^2z^2+3z^2x^2}\)

If 8a³ + 27b³ = 16 and 2a + 3b = 4,then find the value of 16a⁴ + 81b⁴ .

If a + b - c = 5 and ab - bc - ac = 10, then find the value of a² + b² + c².

If x² - 2xy = 84 and x - y = -10, then the value of y is:

If a^x+y = a⁶ and x is greater than y by 2, find x.

If x + y = 19 and x - y = 7, then xy = ?

If 2x + 3y = 4 and 4x² + 9y² = 64, then what is the value of 8x³ + 27y³.

If x + 2y = 27 and x - 2y = -1, find the value of y.

If 10x² - 6xy + y² - 4x + 4 = 0, then find the value of (x + 2y).

(a - b)² + 2ab = ?

If (a - b) = 9, and (a³ - b³) = 4401, find the value of ab.

If (a + b + c) ≠ 0, then (a + b + c) (a² + b² + c² - ab - bc - ca) is equal to: 

If 5x + 3y = 15 and 2xy = 6 then the value of 5x - 3y is:

If a² + b² + c² = ab + bc + ac, then the value of \(\frac{11 a^4+13 b^4 + 17 c^4}{17 a^2b+9bc^2 + 15 c^2a}\) is.

If a + b = 10 and a² + b² = 58, find the value of ab.

If 2a + 3b = 14 and 2a - 3b = 10, then find the value of 'ab'.

If (a + b + c) = 19, and (a² + b² + c²) = 155, find the value of (a - b)² + (b - c)² + (c - a)².

If x³ = 270 + y³ and x = (6 + y), then what is the value of (x + y)? (given that x > 0 and y > 0)

If (a − 2b) = 8 and 2ab = 9, then find the value of (a + 2b).