Question

Remove the brackets and simplify: 2(x – 3)^2 – (2x – 3)^2.

Answer 1

Answer:

Expanding or removing brackets

mc-expandbrack-2009-1

In this leaflet we see how to expand an expression containing brackets. By this we mean to rewrite

the expression in an equivalent form without any brackets in.

Single brackets

If we have a number, or a single algebraic term, multiplying bracketed terms, then all terms in the

brackets must be multiplied as shown in the following examples.

a(b + c) = ab + ac a(b − c) = ab − ac

Example

Expand 3(x + 2).

The 3 outside must multiply both terms inside

the brackets:

3(x + 2) = 3x + 6

Example

Expand x(x − y).

The x outside must multiply both terms inside

the brackets:

x(x − y) = x

2 − xy

Example

Expand −3a

2

(3 − b).

Both terms inside the brackets must be multiplied by −3a

2

:

−3a

2

(3 − b) = −9a

2 + 3a

2

b

Example

Expand (x + 5)x.

Here, the brackets appear first, but the principle is the same. Both terms inside must be

multiplied by the x outside:

(x + 5)x = x

2 + 5x

Step-by-step explanation: