4p^2+24p+36
Factorise
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Step-by-step explanation:
1
Common factor
42+24+36
4p^{2}+24p+364p2+24p+36
4(2+6+9)
4(p^{2}+6p+9)4(p2+6p+9)
2
Use the sum-product pattern
4(2+6+9)
4(p^{2}+{\color{#c92786}{6p}}+9)4(p2+6p+9)
4(2+3+3+9)
4(p^{2}+{\color{#c92786}{3p}}+{\color{#c92786}{3p}}+9)4(p2+3p+3p+9)
3
Common factor from the two pairs
4(2+3+3+9)
4(p^{2}+3p+3p+9)4(p2+3p+3p+9)
4((+3)+3(+3))
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