Question

write each of the following as the product of two factors:a)3a-6b b)6x-9​

Answer 1

SOLUTION

TO EXPRESS

Each of the following as the product of two factors:

a) 3a-6b

b) 6x-9

EVALUATION

a) Here the given expression is 3a - 6b

So the two terms are 3a and 6b

$\sf{3a = 3 \times a}$

$\sf{6b = 2 \times 3 \times b}$

So the common factor between the two terms = 3

$\therefore \sf{ \: 3a - 6b}$

$\sf{ = 3(a - 2b)}$

b) Here the given expression is 6x - 9

So the two terms are 6x and 9

$\sf{6x = 2 \times 3 \times x}$

$\sf{9 = 3 \times 3}$

So the common factor between the two terms = 3

$\therefore \: \sf{6x - 9}$

$= \sf{3(2x - 3)}$

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