Multiplication of Rational Expressions

Solve the quadratic equation $x^2+5x+6=0$.

Solve the quadratic equation $100x^2-20x+1=0$ by factorisation.

Solve the following quadratic equation by factorisation:

$a^2{b}^2{x}^2+b^{2}x-a^{2}x-1=0$

If $x+y+z=0$
then $x^3+y^3+z^3$=___?

1. -3xyz

2. 0

3. 2xyz

4. 3xyz

The set of values of $x$ for which the inequalities $x^2-3x-10<0,10x-x^2-16>0$hold simultaneously, is

1. $(-2,5)$

2. $(2,8)$

3. $(-2,8)$

4. $(2,5)$

$\sqrt{10}\times \sqrt{15}$ is equal to
A) $6\sqrt{5}$
B) $5\sqrt{6}$
C) $\sqrt{25}$
D) $10\sqrt{5}$

Factorize $8x^3+36x^{2}y+54x{y}^2+27y^3$.

Solve the quadratic equation $2x^2+ax-a^2=0$ for $x$.

Question 3(v)
Find the value of:

${\left\{{\left(\frac{-2}{3}\right)}^{-2}\right\}}^2$

Solve $1-(x-2)-\left[\right(x-3)-(x-1\left)\right]=0$

Solve the following system of linear equations for $x\text{and}y$

$\frac{x}{a}-\frac{y}{b}=a-b;ax+by=a^3+b^3$

If $3^x-3^{x-1}=6$, then $x^x$ is equal to

1. 2

2. 4

3. 9

4. 3

Solve $3(x+2)-2(x-1)=7$for the value of $x$.

Solve $x^2+7x=7$ and give your answer correct to two decimal places.

The quadratic equations $x^2+15\left|x\right|+14=0$ has

1. only positive solutions

2. only negative solutions

3. no solution

4. both positive and negative solutions

Question 180(vi)

Simplify :
$\frac{(3^{-2}{)}^2\times (5^2{)}^{-3}\times (t^{-3}{)}^2}{(3^{-2}{)}^5\times (5^3{)}^{(-2)}\times (t^{-4}{)}^3}$

Solve the following quadratic equation by the formula method

$3x^2+7x-20=0$

1. $\frac{-1}{a+1}$
2. $\frac{1}{1-a}$
3. $\frac{1}{a+5}$
4. $\frac{-1}{a+5}$

1. $1$
2. $2$
3. $4$
4. $3$

1. $\frac{(x-5)}{(x-6)}$
2. $\frac{(x-6)}{(x-5)}$
3. $\frac{(x+5)}{(x-6)}$
4. $\frac{(x-5)}{(x+6)}$

Solve the equation.

$-6=q-3$

1. 1
2. $\frac{3x+2}{4x+3}$
3. $\frac{3x-2}{4x-3}$
4. None of the above

Solve: $5(x-1)+2(x+3)+6=0.$

1. $\frac{-3(x+3)}{4(x-3)}$
2. $\frac{-3(x-3)}{4(x+3)}$
3. $\frac{-4(x-3)}{3(x+3)}$
4. $\frac{-4(x+3)}{3(x-3)}$