Group Factorisation
Recall that in algebraic expansion, we learnt that:
Recall that in algebraic expansion, we learnt that:
(a + b)(c + d) = ac + ad + bc + bd
(a + b)(c + d) = ac + ad + bc + bd
This is illustrated in the diagram where (a + b) is the length and (c + d) is the breadth of the rectangle. We can see that the area can be divided into 4 pieces: ac + ad + bc + bd.
This is illustrated in the diagram where (a + b) is the length and (c + d) is the breadth of the rectangle. We can see that the area can be divided into 4 pieces: ac + ad + bc + bd.
In factorisation, we take the 4 terms (ac + ad + bc + bd) and work out the factors (a + b) and (c + d).
In factorisation, we take the 4 terms (ac + ad + bc + bd) and work out the factors (a + b) and (c + d).
Test Yourself (Level 5)
Test Yourself (Level 5)
Practice using group factorisation using the applet below.
Practice using group factorisation using the applet below.
Check the Show Ans box to check your answers and see the working.
Check the Show Ans box to check your answers and see the working.