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Setler79 [48]
2 years ago
10

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

Mathematics
2 answers:
iris [78.8K]2 years ago
8 0

Hi!

___________________________________________________________

\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 <em>and </em>\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\div7=2x\\\twoheadrightarrow\sf21\div7=3

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

<em />\twoheadrightarrow\sf 2w+3

\bullet <em>Put parentheses around 2w+3</em>

<em />\twoheadrightarrow\sf (2w+3)

\bullet <em>Put7 outside the parentheses</em>

<em />\twoheadrightarrow\sf7(2w+3)

\bullet <em>Great job! We factored the expression</em>

__________________________________________________________

<u>This problem can be solved the same way!</u>

This time, both terms have a 9 in common.

\twoheadrightarrow\sf 27x+18

So we divide both terms by 9.

\twoheadrightarrow\sf 27x\div9=3x\\\twoheadrightarrow\sf18\div9=2

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

<em />\twoheadrightarrow\sf 3x+2

\bullet <em>Next, put parentheses around 3x+2 and put 9 outside the parentheses</em>

<em />\twoheadrightarrow\sf 9(3x+2)

\bullet <em>Great job! We factored both expressions</em>

--

Hope that this helped! Best wishes.

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

--

<em />

expeople1 [14]2 years ago
5 0

Step-by-step 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)

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