Question 1
18199

Simplify \(\dfrac{{5p}}{q}+\dfrac{{3p}}{q}\)

\(\dfrac{{8p}}{q}\)

Question 2
18200

Simplify \(\dfrac{{5{a^2}}}{3} \div \dfrac{a}{7}\)

\(\dfrac{{35a}}{3}\)

Question 3
18201

Simplify \(\dfrac{1}{x}+\dfrac{1}{{x+1}}\)

\(\dfrac{{2x + 1}}{{x\left( {x + 1} \right)}}\)

Question 4
18202

Simplify \(\;\dfrac{{3x-15}}{{{x^2}+3x}}\times \dfrac{{4x}}{{5-x}}\)

\( - \dfrac{{12}}{{x + 3}}\)

Question 5
18203

Simplify \(\dfrac{{{x^2}-2x}}{{4x}} \div \dfrac{{6x-12}}{8}\)

\(\dfrac{1}{3}\)

Question 6
18204

Simplify \(\dfrac{{4a+12}}{{5a+15}} \div \dfrac{{8{a^2}}}{{{a^2}+3a}}\)

\(\dfrac{{a + 3}}{{10a}}\)

Question 7
18205

Simplify \(\dfrac{{3b-bx-3a+ax}}{{2{x^2}-5x-3}} \times \dfrac{{4{x^2}-1}}{{{a^2}+{b^2}-2ab}}\)

\(\dfrac{{2x - 1}}{{a - b}}\)

Question 8
18206

Simplify \(\dfrac{3}{{{x^2}+9x+18}}- \dfrac{2}{{{x^2}+8x+15}}\)

\(\dfrac{1}{{\left( {x + 5} \right)\left( {x + 6} \right)}}{\rm{ \;}}\)

Question 9
34988

Simplify \(\dfrac{x^3+y^3}{x^2-y^2}\)

\(\dfrac{x^2-xy+y^2}{x-y}\)

Question 10
34989

Simplify \(\dfrac{x+1}{x-1}-\dfrac{x-1}{x+1}\)

\(\dfrac{4x}{x^2-1}\)

Question 11
13181

\(\dfrac{{x - 1}}{2} + \dfrac{{x + 1}}{3}\) when simplified is?

\(\dfrac{{5x - 1}}{6}\)

Question 12
13182

\(\dfrac{{{x^2} - 2x + 1}}{{{x^2} - 1}}\) when simplified is?

\(\dfrac{{x - 1}}{{x + 1}}\)

Question 13
13183

\(\dfrac{1}{{x + 1}} - \dfrac{1}{x}{\rm{ }}\) when simplified is? 

\(\dfrac{{ - 1}}{{x(x + 1)}}\)

Question 14
13184

\(\dfrac{{2x - 2}}{x} \times \dfrac{{{x^2}}}{{{x^2} - 1}}\) when simplified is? 

\(\dfrac{{2x}}{{x + 1}}\)

Question 15
13185

\(\dfrac{1}{{{x^2} + x}} - \dfrac{1}{{{x^2} - x}}\) when simplified is? 

\(\dfrac{{ - 2}}{{x(x + 1)(x - 1)}}\)

Question 16
15724

\(\dfrac{{{x^2} + 3x + 2}}{x} \div \dfrac{{x + 1}}{{{x^2}}}\) when simplified is?

\(x(x + 2)\)

Question 17
15725

\(\dfrac{1}{{{y^2} + y}} - \dfrac{1}{{y - {y^2}}}\) when simplified is?

\(\dfrac{{2}}{{{y^2} - 1}}\)