Question 1
51943

Remove the brackets and fully simplify \((2x-3)^2-(x+2)^2\)

\(3 x^2-16 x+5\)

Question 2
34986

Expand and simplify \((2x-1)^2-(2x+1)^2\)

\(-8x\)

Question 3
34987

Expand and simplify \((x-1)(x^2+x+1)\)

\(x^3-1\)

Question 4
18180

Expand and simplify \(5\left( {a+b} \right) - 6\left( {a-b} \right)\)

\( - a + 11b\)

Question 5
18181

Expand and simplify \(3a\left( {a+5b} \right) - a\left( {a-3b} \right)\)

\(2{a^2} + 18ab\)

Question 6
18182

Expand and simplify \( -4\left( {3x-y+z}\right) + 5\left( {-2x+3y-5z}\right)\)

\( - 22x + 19y - 29z\)

Question 7
18183

Expand and simplify \(\left( {a+4}\right)\left({a+5}\right)\)

\({a^2} + 9a + 20\)

Question 8
18184

Expand and simplify \(\left({3a+5}\right)\left({a+4}\right)\)

\(3{a^2} + 17a + 20\)

Question 9
18185

Expand and simplify \(\left({2a-7}\right)\left({a-6}\right)\)

\(2{a^2} - 19a + 42\)

Question 10
18186

Expand and simplify \(2\left({a-3}\right)\left({a-1}\right)-\left({a-2}\right)\left({a-4}\right)\)

\({a^2} - 2a - 2\)

Question 11
18187

Expand and simplify \({\left({a+3}\right)^2}-{\left({a-2}\right)^2}\)

\(10a + 5\)

Question 12
13978

\({(2x + 1)^2} - {(2x - 1)^2} = \)

\(8x\)

Question 13
15722

Which expression is the factorisation of \(2{x^2} + 5x - 3\)?

A.

\((2x + 3)(x - 1)\)

B.

\((x - 3)(2x+1)\)

C.

\((2x - 3)(x + 1)\)

D.

\((x + 3)(2x - 1)\)

\((x + 3)(2x - 1)\)

Question 14
15723

Factorise \(8{x^2} - 18{y^2}\)?

\(2(2x + 3y)(2x - 3y)\)

Question 15
13171

\({(2x - 3)^2}=\)

\(4{x^2} - 12x + 9\)

Question 16
13172

\((3x - 2)(3x + 2) = \)

\(9{x^2} - 4\)

Question 17
13173

\({(1 - 2x)^2} =\)

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

Question 18
13174

\((3x + 2)(x - 5)= \)

\(3{x^2} - 13x - 10\)

Question 19
13175

\({(x - 2)^2} - {(x + 2)^2}= \)

\( - 8x\)