Polynomials

Simplify the expression:![Screenshot 2025-05-23 161013.png](https://res.cloudinary.com/aptidude/image/upload/v1747996821...

Simplify $$ \frac{(8.3)^3 + (9.2)^3 + (6.1)^3 - 3 \times 8.3 \times 9.2 \times 6.1}{(8.3)^2 + (9.2)^2 + (6.1)^2 - 8.3...

If the sum of three numbers is 18 and the sum of their squares is 36, then find the difference between the sum of their ...

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If sin x + cosec x = 2, then find the value of sin^7 x + cosec^7 x....

If 8a³ + b³ + 27c³ = 18 abc, then what is the relation among a, b and c?...

Simplify the expression ![image.png](https://res.cloudinary.com/aptidude/image/upload/v1746854012/aptidude_questions/r...

What number should be subtracted from x³ - 4x² - 8x + 11 to make the number divisible by (x + 2)?...

Simplify. $$ \frac{(7.3)^3 - (4.7)^3}{(7.3)^2 + 7.3 \times 4.7 + (4.7)^2} $$ ...

When f(m) = m^5 + 5m^4 - 3m + 7 is divided by (m - 2), then find the remainder....

Simplify the expression: ((4.2)^3 - (1.2)^3) / ((4.2)^2 + 5.04 + (1.2)^2)....

The value of the expression (1.55² + 0.55² + 1.55 × 0.55) is equal to:...

Simplify the expression ![image.png](https://res.cloudinary.com/aptidude/image/upload/v1747242284/aptidude_questions/h...

If $m + n = 24$, then find the value of $$ (m - 16)^3 + (n - 8)^3. $$...