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Simple Algebraic Operations

The aim of this lesson is to find out how to factorise expressions by taking out a common factor. In this lesson you will learn how to:. ? Take out a number as a common factor? Take out a letter as a common factor? Take out a number and a letter as a common factor.. Factorise 3a 3b. 3 is the

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Simple Algebraic Operations

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    1. Simple Algebraic Operations Factorising Expressions -Common Factor-

    2. The aim of this lesson is to find out how to factorise expressions by taking out a common factor

    3. In this lesson you will learn how to: ? Take out a number as a common factor ? Take out a letter as a common factor ? Take out a number and a letter as a common factor.

    4. Factorise 3a + 3b 3 is the common factor 3a is 3 x a and 3b is 3 x b 3 ( ) 3 goes outside the brackets 3 (a + b) a + b goes inside the brackets Answer: 3(a+b) Remove the brackets to check: 3(a+b) = 3a + 3b

    5. Factorise 3a - 12 3 is the largest common factor 3a is 3 x a and 12 is 3 x 4 3( ) 3 goes outside the brackets 3(a - 4) a + 4 goes inside the brackets Answer: 3(a-4) Remove the brackets to check: 3(a-4) = 3a - 12

    6. Factorise 8y - 12 4 the largest common factor 8y is 4 x 2y and 12 is 4 x 3 4( ) 4 goes outside the brackets 4(2y 3) 2y 3 goes inside the brackets Answer: 4(2y-3) Remove the brackets to check: 4(2y-3) = 8y - 12

    7. Factorise c2 4c c is a common factor c2 is c x c and 4c is 4 x c c( ) c goes outside the brackets c(c 4) c 4 goes inside the brackets Answer: c(c-4) Remove the brackets to check: c(c-4) = c2 4c

    8. Factorise 15p2 + 25pq 5p is a common factor 15p2 is 5p x 3p and 25pq is 5p x 5q 5p( ) 5p goes outside the brackets 5p(3p + 5q) 3p + 5q goes inside the brackets Answer: 5p(3p+5q) Remove the brackets to check: 5p(3p+5q) = 5p2 + 25pq

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