Expanding Brackets (Edexcel IGCSE Maths): Exam Questions

Expand $3(2y-5)$

Expand $4(3x+5)$

Expand and simplify $2 ( x - 4 ) + 3 ( x + 5 )$

Expand $3 ( 2 + t )$

Expand $3 x ( 2 x + 5 )$

Expand $4 ( x + 2 )$

Expand $2 m ( m + 3 )$

Expand and simplify $5 ( y - 2 ) + 2 ( y - 3 )$

Expand $x ( x + 2 )$

Expand and simplify $3 ( y + 2 ) + 4 ( x - 1 )$

Expand $x(x-3)$

Expand and simplify $3 ( y - 2 ) + 5 ( 2 y + 1 )$

Expand $3y(4y-3)$

Expand and simplify $3 ( x + 4 ) + 2 ( 5 x - 1 )$

Expand $7(x+5)$

Expand $4t(3t--2)$

Expand $4x^{2}(3x+5)$

Circle your answer.

$(2x--4)(3x+5)$is expanded and simplified. Circle the term which is part of the answer.

Multiply out and simplify $( x - 8 )^{2}$

Expand and simplify $3 ( m + 4 ) - 2 ( 4 m + 1 )$

Expand and simplify $5 ( p + 3 ) - 2 ( 1 - 2 p )$

Expand and simplify $( p + 9 ) ( p - 4 )$

Expand and simplify $(x+4)(x+6)$

Expand and simplify $( m + 3 ) ( m + 10 )$

Expand and simplify $( x - 5 ) ( x + 3 )$

Expand and simplify $( y - 2 ) ( y - 5 )$

Expand and simplify $( y + 2 ) ( y + 5 )$

Expand and simplify $( m + 7 ) ( m + 3 )$

Expand and simplify $( 2 x + 1 ) ( x - 4 )$

Expand and simplify $( 2 x + 3 ) ( x - 8 )$

Expand and simplify $( 2 t - 3 ) ( t + 5 )$

Expand and simplify $( w - 5 )^{2}$

Expand and simplify $( y + 4 ) ( 2 - y )$

Expand and simplify $3x(2x+3)--x(3x+5)$

Expand and simplify fully $4(2c+3)--(5c--1)$

Expand and simplify $( m + 9 ) ( m - 5 )$

Show that $(x+1)(x+2)(x+3)$ can be written in the form $ax^{3}+bx^{2}+cx+d$ where $a,b,c$ and $d$ are positive integers.

Show that

$( 3 x - 1 ) ( x + 5 ) ( 4 x - 3 ) = 12 x^{3} + 47 x^{2} - 62 x + 15$

for all values of $x$.

Simplify fully $( \sqrt{a + \sqrt{4} b} ) ( \sqrt{a} - 2 \sqrt{b} )$

Show that $(2x+1)(x+3)(3x+7)$ can be written in the form $ax^{3}+bx^{2}+cx+d$ where $a,b,c$ and $d$ are integers.

Solve $( 1 - x )^{2} < \frac{9}{25}$

The area of square $ABCD$ is $10$ cm².

Show that $x^{2}+6x=1$

Expand and simplify $5 x ( x + 2 ) ( 3 x - 4 )$

Given that $( 8 - \sqrt{x} ) ( 5 + \sqrt{x} ) = y \sqrt{x} + 21$ where $x$ is a prime number and $y$ is an integer,

find the value of $x$ and the value of $y$.

Show each stage of your working clearly.

x = .............................................................

y = ............................................................

Solve $(2x+5)^{2}=(2x+3)(2x--1)$

$x=$ ......................................

The functions $f$and $g$ are defined as

$\begin{gathered} \mathrm{f} ( x ) & = x^{2} + 6 \\ \mathrm{g} ( x ) & = x - 10 \end{gathered}$

Solve the equation $\mathrm{fg}(x)=f(x)$

Show clear algebraic working.

Expand and simplify $(4x+1)(x--3)(5x+6)$

Show that $x ( x - 1 ) ( x + 1 ) = x^{3} - x$

Expand and simplify fully $( x - 3 ) ( x + 2 ) ( x + 5 )$

Here is an identity.

$a(3x--10)\equiv21x+2b$

Work out the values of $a$ and $b$.

$(x+5)(x+2)(x+a)\equiv x^{3}+bx^{2}+cx--30$

Work out the values of the integers $a,b$and $c$.

$\begin{gathered} a & = ...................... \\ b & = ...................... \\ c & = ...................... \end{gathered}$

Expand and simplify $(3x^{2}+2)(2x+5)--6x(x^{2}--3)$

Expand and simplify.

$( x + 1 ) ( x - 1 ) ( x + 2 )$

Expand and simplify.

$(2x-1)(x+5)(3x-2)$

Expand and simplify $(x+6)(3x--2)(x+6)$

Expand and simplify $( 2 x + 3 ) ( x - 5 ) ( x + 4 )$