Method F - Vertical & Crosswise

Test yourself

Vertical and Cross: Expand and Simplify (x + 3)(x − 5)

Step 1

Write (x + 3)(x − 5) in two rows, in a similar way to a column multiplication.

Step 2

First, multiply vertically.
The first two terms in each expression are multiplied together and the product is written at the bottom.

Step 3

Now, multiply vertically again – this time the last two terms in each expression are multiplied together and the product is written at the bottom.

Step 4

Finally, the ‘crosswise’ part.
Multiply diagonally and add the two products.

Well done!

Thank you for completing our CPD course. We hope you've enjoyed it and that it has given you some ideas for your own classroom.

1Course Overview

1.1Course Structure & Commonly Asked Questions

1.1.1Introduction to the Course & Common Questions

2Subtraction: KS2/3

2.1Subtraction Methods

2.1.1Method A - Decomposition Method

2.1.2Method B - Equal Addition Method

2.1.3Method C - Expanded Form Method

2.1.4Method D - Partitioning Method

2.1.5Method E - Counting-Up Method

2.1.6Method F - Constant Difference Method

2.1.7Method G - Partial Differences Method

2.1.8Method H - Complementary Method

2.1.9Method I - Nines Complement Method

3Expanding Double Brackets: KS3/4

3.1Expansion Methods

3.1.1Method A - Grid Method

3.1.2Method B - Each by Each

3.1.3Method C - Distributive Law

3.1.4Method D - Inspection

3.1.5Method E - Column Method

3.1.6Method F - Vertical & Crosswise

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