Manipulating Expressions 2

Use the distributive law to expand and factorize single and double brackets.

Expanding Brackets: the Area Model

Expanding with Negative NumbersComplete the earlier lesson to unlock

Expanding and Simplifying Several BracketsComplete the earlier lesson to unlock

Letters and Fractions Outside the BracketComplete the earlier lesson to unlock

Factorising: the Reverse of ExpandingComplete the earlier lesson to unlock

Factorising with Letters, and Dividing ExpressionsComplete the earlier lesson to unlock

Multiplying Two BracketsComplete the earlier lesson to unlock

Special Products and Factorising QuadraticsComplete the earlier lesson to unlock

Unit review reward

All 8 lessons in Manipulating Expressions 2

Builds on: A2

Use the distributive law and the area model to expand a single bracket, and test an expansion with a number.

Expand brackets that have subtraction inside, a negative number outside, or both, and find the slip in a wrong expansion.

Expand more than one bracket, subtract a bracket, handle loose terms, and decide whether two expressions are equal.

Expand brackets with a letter, a number and a letter, or a fraction outside, and collect like terms.

Find the highest common factor, factorise two-term expressions fully, check by expanding, and use factorising to find a side from an area.

Factorise with letter and number-and-letter common factors, divide expressions by cancelling, and decide when cancelling is allowed.

Multiply two brackets with a grid, including negatives, numbers in front, squares and the sum-and-product pattern.

Expand and factorise a difference of two squares, factorise x squared plus bx plus c, and combine the methods.

Unit code A3