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3 years ago

QUESTION 1 1 POINT Factor: 27m3 64. Provide your answer below: Content attribution

Mathematics

1 answer:

pickupchik [31]3 years ago

5 0

Answer:

$\boxed{ \bold{ \boxed{ \sf{(3m - 4)(9 {m}^{2} + 12m + 16)}}}}$

Step-by-step explanation:

$\sf{27 {m}^{3} - 64}$

$\dashrightarrow{ \sf{( {3m)}^{3} - {(4)}^{3} }}$

Use the formula of a³ - b³ = ( a - b) ( a² + ab + b² )

$\longrightarrow{ \sf{(3m - 4)(3 {m}^{2} + 3m \times 4 + {4}^{2} }})$

$\longrightarrow{ \sf{(3m - 4)( {9m}^{2} + 12m + 16}})$

Hope I helped!

Best regards! :D

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