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fractorise 14p^2 + 21pq

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Sagot :

Answer:

7p(2p+3q)

Step-by-step explanation:

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[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

  • Factorise ⇨ 14p² + 21pq

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \sf \: 14 p ^ { 2 } + 21 p q[/tex]

Factor out 7.

[tex] \sf \: 7\left(2p^{2}+3pq\right) [/tex]

Consider 2p² + 3pq. Factor out p.

[tex] \sf \: p\left(2p+3q\right) [/tex]

Rewrite the complete factored expression.

[tex] \boxed{\boxed{ \bf \: 7p\left(2p+3q\right) }}[/tex]