Multiply out a single bracket (with negatives too), expand and simplify sums of brackets, and meet double brackets.
What you will learn
- Expand a(bx + c), including a negative a
- Expand and simplify expressions with two brackets
- Expand (x + a)(x + b)
Every term inside
The number or term outside multiplies every term inside.
- 3(2x − 5) = 6x − 15
- x(4x + 7) = 4x² + 7x
- −2(x − 4) = −2x + 8
The third one is where marks are lost: −2 × −4 = +8.
The rest of this lesson and its 7 practice questions are locked.
In this lesson
- Every term inside
- Expand, then collect
- Try it: Let the solver expand
7 practice questions, marked as you go; about 25 minutes in all.
Key terms
Every
In this unit: Algebraic expressions
The language of algebra: writing and substituting into expressions, simplifying, expanding brackets, factorising, and telling expressions, equations, formulae and identities apart.