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3 years ago

7a3+56b3 factorize it plsss

Mathematics

1 answer:

nignag [31]3 years ago

6 0

Answer:

7(a + 2b)(a² - 2ab + 4b²)

Step-by-step explanation:

Given

7a³ + 56b³ ← factor out 7 from each term

= 7(a³ + 8b³) ← sum of cubes which factors in general as

a³ + b³ = (a + b)(a² - ab + b²)

8b³ = (2b)³ ⇒ b = 2b

a³ + 8b³ = (a + 2b)(a² - 2ab + (2b)²) = (a + 2b)(a² - 2ab + 4b²)

Hence

7a³ + 56b³ = 7(a + 2b)(a² - 2ab + 4b²) ← in factored form

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7a3+56b3 factorize it plsss​

7a3+56b3 factorize it plsss