Multiplying Terms

Algebra, second instalment

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• Multiplying terms with different letters

• Powers and multiplying

• Mixed signs

yx 23 ×

yx 23 ×yxyx ×××=× 2323

yx 23 ×yxyx ×××=× 2323

xy6=

yx 23 ×yxyx ×××=× 2323

xy6=Multiply the numbers, and then multiply the letters

Powers - recall

Powers - recall

2xxx =×

Powers - recall

2xxx =×43 xxx =×

Powers - recall

2xxx =×43 xxx =×853 xxx =×

Powers - recall

2xxx =×43 xxx =×853 xxx =×

€

p×q2 × r × p3 =

Powers - recall

2xxx =×43 xxx =×853 xxx =×

rqpprqp 2432 =×××

Numbers and letters

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3x ×2y ×5x

Numbers and letters

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3x ×2y ×5x

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=3×2 ×5 × x × x × y

Numbers and letters

€

3x ×2y ×5x

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=3×2 ×5 × x × x × y

€

=30 × x 2 × y

Numbers and letters

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3x ×2y ×5x

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=3×2 ×5 × x × x × y

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=30 × x 2 × y

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=30x 2y

Terms of mixed sign

Terms of mixed sign

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−4 p×2y ×−5q

Terms of mixed sign

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−4 p×2y ×−5q

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=−4 ×2 ×−5 × p×q× y

Terms of mixed sign

€

−4 p×2y ×−5q

€

=−4 ×2 ×−5 × p×q× y

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=40 × p×q× y

Terms of mixed sign

€

−4 p×2y ×−5q

€

=−4 ×2 ×−5 × p×q× y

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=40 × p×q× y

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=40pqy

Putting it together

• Multiply the numbers

• Multiplying the same letter: find the power

• Multiplying different letters: write together

• Check the sign!

Your Turn

• Find a GCSE textbook

• Turn to the first algebra chapter

• Find an exercise on multiplying terms

• Complete the exercise

• Check your answers!

• Dividing algebraic fractions next!