Fully worked, step-by-step solutions to GCSE Identities and argument questions. See exactly how to solve problems on expanding brackets, collecting like terms, even numbers, algebraic expressions.
Multiply the first term
Multiply the 3 outside the bracket by the x inside.
Multiply the second term
Multiply the 3 outside the bracket by the 2 inside.
Write the expanded expression
Add the two results to give the expanded form.
Multiply the first term
Multiply the 2 outside the bracket by the x inside.
Multiply the second term
Multiply the 2 outside the bracket by the -4 inside.
Write the expanded expression
Combine the two results for the expanded form.
Identify the like terms
All three terms are multiples of x, so they can be combined.
Add and subtract the coefficients
Work with the numbers in front of x.
Write the simplified expression
The single simplified term is 6x.
Group the like terms
Put the a terms together and the b terms together.
Combine the a terms
Add the coefficients of a.
Combine the b terms
Only one b remains, so the answer is 8a + b.
Recall what makes a number even
Every even number is a multiple of 2.
Write it using n
Multiplying any integer n by 2 always gives an even number.
State the expression
So 2n represents a general even number.
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