S.N. Chhibber Solutions for Chapter: Algebraic Expressions, Exercise 8: Revision Time

Divide $10x{y}^2{z}^2 \mathrm{by} 5xyz$.

Find the value of $k$ if dividing $17x^4{y}^2+2x{y}^2-7x{y}^4 \mathrm{by} \frac{1}{2}xy$ gives $34x^{3}y+4y-k{y}^3$

Divide $12a^3-10a^2+3a+10 \mathrm{by} 4a^2-6a+5$ and find the quotient.

If the quotient, we get after dividing $x^3+1 \mathrm{by} x^2-x+1$ is $x+k$, then find the value of $k$.

Find the value of $a+b$, if subtraction of $2x+y$ from the sum of $7x^{2}y-2x-7y$ and $4x^{2}y-8y+4x$ is equal to $a{x}^{2}y+by$

Find the value of $k$ if $\left\{\left(8x^{3}y+2x{y}^3-18\right)+\left(-12x^{3}y+7x{y}^3\right)\right\}-\left\{\left(19x^{3}y-17x{y}^3+12\right)+\left(-21+5x{y}^3\right)\right\}=23x^{3}y-kx{y}^3+9$.

Find the value of $a+b$ if subtracting $8x^2{y}^2-7xy+19$ from $4x^2{y}^2$ gives $a{x}^2{y}^2-bxy+19$$$

If two sides of a triangle are $2x-7$ and $5x+y-8$ and its perimeter is $10x-y-11$, find its third side.