Video: AQA GCSE Mathematics Foundation Tier Pack 2 β€’ Paper 2 β€’ Question 8

Simplify 4𝑦 βˆ’ 3𝑧 βˆ’ 3𝑦 + 5𝑧.

01:19

Video Transcript

Simplify four 𝑦 minus three 𝑧 minus three 𝑦 plus five 𝑧.

In order to simplify this expression, we need to group or collect like terms. We need to group the four 𝑦 and negative three 𝑦. And then separately, the negative three 𝑧 and positive five 𝑧. Firstly, let’s group the 𝑦 terms, four 𝑦 minus three 𝑦. Four minus three is equal to one. Therefore, this is equal to one 𝑦 or just 𝑦.

Grouping the 𝑧 terms gives us negative three 𝑧 plus five 𝑧. Negative three plus five is equal to two. This means that negative three 𝑧 plus five 𝑧 is equal to two 𝑧. The expression for 𝑦 minus three 𝑧 minus three 𝑦 plus five 𝑧 simplifies to 𝑦 plus two 𝑧. We can group or collect the terms in either order. 𝑦 plus two 𝑧 is the same as two 𝑧 plus 𝑦. Generally, we do them in alphabetical order. In this case, we grouped the 𝑦s before the 𝑧s.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.