Telangana Board Solutions for Chapter: Algebraic Expressions, Exercise 15: Exercise - 4

On subtracting the sum of $x^2-5xy+2y^2$ and $y^2-2xy-3x^2$ from the sum of $6x^2-8xy-y^2$ and $2xy-2y^2-x^2$ we get $k{x}^2+xy-6y^2$. Find the value of $k$.

When $k{x}^2-3x-2$ added to $1+2x-3x^2$ we get $x^2-x-1$. Find the value of $k$.

When $k{x}^2-3y^2-xy$ taken away from $3x^2-4y^2+5xy+20$ we get $-x^2-y^2+6xy+20$. Find the value of $k$.

The sum of $3$ expressions are $8+13a+7a^2$. Two of them are $2a^2+3a+2$ and $3a^2-4a+1$. The third expression is $k{a}^2+14a+5$. Find the value of $k$.

If $A=4x^2+y^2-6xy;$

$B=3y^2+12x^2+8xy;$

$C=6x^2+8y^2+6xy;$

Find $A+B+C$.

If $A=4x^2+y^2-6xy;$

$B=3y^2+12x^2+8xy;$

$C=6x^2+8y^2+6xy;$

Find $(A-B)-C$.

If $A=4x^2+y^2-6xy;$

$B=3y^2+12x^2+8xy;$

$C=6x^2+8y^2+6xy;$

Find $2A+B$.

If $A=4x^2+y^2-6xy;$

$B=3y^2+12x^2+8xy;$

$C=6x^2+8y^2+6xy;$

Find $2A-3B$.