What is $ 4x-8x$?

If the length of the rectangle given below is $y^2+x$ units longer than its width, then the value of $x$ is _____.

Subtract $4p^2+5q^2-6r^2+7$ from $3p^2-4q^2-5r^2-6$

Consider the polynomials $ \text{P}\left(x\right)=2{x}^{2}+5\text{x}+5$ and $ {\text{Q}\left(x\right)=x}^{2}-4$.

What is $ \text{P}\left(x\right)-\text{Q}\left(x\right)$?

Subtract $5y^4-3y^3+2y^2+y-1$ from $4y^4-2y^3-6y^2-y+5$

$ \text{P}\left(\text{t}\right)={(3t}^{3}-5{t}^{2}+2t+200)$ and $ \text{Q}\left(\text{t}\right)={(3t}^{3}-2{t}^{2}+5t+100)$.

What is $ \text{P}\left(\text{t}\right)-\text{Q}\left(\text{t}\right)$?

The perimeter of triangle is $6p^2–4p+9$ and two of its sides are $p^2-2p+1$ and $3p^2-5p+3$. Find the third side of the triangle.

Given below is the figure of rectangular garden.

Total area of the garden is $7x^2-5x+5$  and the area of the part shaded in blue is $x^2-5$

Which of the following gives the area of the part shaded in green?

Which of the following is the same as $ \left(-\frac{1}{4}{m}^{2}-2m+\frac{1}{3}\right)-\left(\frac{3}{4}{m}^{2}+7m-\frac{1}{12}\right)$ ?

Which of the following is the same as $ \left({7x}^{4}-2x{+9-2x}^{2}\right)-(1-2x{-4x}^{2}{-10x}^{4})$?

What must be subtracted from $3a^2-6ab-3b^2-1$ to get $4a^2-7ab-4b^2+1$?

The two adjacent sides of a rectangle are $5x^2-3y^2$ and $x^2+2xy$. Find the perimeter.

The perimeter of a triangle is given by $10y^2-5y+16$ and the sum of its two sides is given by $4y^2+10y+4$

Which of the following gives its third side?

$ \text{P}\left(x\right)$ and $ \text{Q}\left(x\right)$ are two polynomials where,

$ \text{P}\left(x\right)={(4x}^{2}+2x+5)$ and $ \text{Q}\left(x\right)=(2{x}^{2}-5x-5)$

What is $ \text{P}\left(x\right)-\text{Q}\left(x\right)$?

Which of the following is equal to $ \left({4x}^{3}-{x}^{2}+5\right)-({4x}^{2}+2x-5)$?

Area of the square below is $ {x}^{2}+5x+25$ and that of the triangle is $ {\text{x}}^{2}-5$.

The area of the region shaded in green is _____ sq units, when $ x=5$.