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25 votes
25 votes
Factorise the following expressions:
a) 14w + 21
b) 27x+18​

User MichaelZ
by
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2 Answers

6 votes
6 votes

Hi!

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\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup

#1 7(2w+3)

#2 9(3x+2)


\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup

We need to factor these two expressions.


\twoheadrightarrow\sf 14w+21 and
\twoheadrightarrow\sf 27x+18

For now let's focus on the first expression.

Note that both terms, 14w and 21, have something in common.

In fact, they have 7 in common. So we factor it out by dividing 14w and 21 by 7.


\twoheadrightarrow\sf14w/7=2x\\\twoheadrightarrow\sf21/7=3


\bullet Put the terms together, with a plus sign in between since they are positive


\twoheadrightarrow\sf 2w+3


\bullet Put parentheses around 2w+3


\twoheadrightarrow\sf (2w+3)


\bullet Put7 outside the parentheses


\twoheadrightarrow\sf7(2w+3)


\bullet Great job! We factored the expression

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This problem can be solved the same way!

This time, both terms have a 9 in common.


\twoheadrightarrow\sf 27x+18

So we divide both terms by 9.


\twoheadrightarrow\sf 27x/9=3x\\\twoheadrightarrow\sf18/9=2


\bullet Put the terms together, with a plus sign in between since they're positive


\twoheadrightarrow\sf 3x+2


\bullet Next, put parentheses around 3x+2 and put 9 outside the parentheses


\twoheadrightarrow\sf 9(3x+2)


\bullet Great job! We factored both expressions

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Hope that this helped! Best wishes.


\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}

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User Pedro Alves
by
2.7k points
25 votes
25 votes

Explanation:

a) 14w + 21

- Factor out 7 from the expression

7 (2w + 3)

b) 27x + 18

- Factor out 9 from the expression

9 (3x + 2)

User Brandon Kindred
by
2.8k points