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Factorize. 2a³+16b³-5a-10b

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Factorize. 2a³+16b³-5a-10b

Posted by Suneel Kumar 5 years, 5 months ago

CBSE > Class 09 > Mathematics

2 answers

Yogita Ingle 5 years, 5 months ago

Given Equation is 2a^3 + 16b^3 - 5a - 10b.

This can be written as

2(a^3 + 8b^3) - 5a - 10b

We know that a³ + b ³= (a+b)(a²-ab+b²)

= > 2(a + 2b)(a² - 2ab + 4b²) - 5a - 10b

= > 2(a + 2b)(a² - 2ab + 4b²) - 5(a + 2b)

= > (a + 2b)(2(a ² -2ab + 4b²) - 5)

= > (a + 2b)(2a² - 4ab + 8b² - 5)

Therefore the equation can be factorized as (a + 2b)(2a² - 4ab + 8b² - 5)

0Thank You

Pushpa Sakha 5 years, 5 months ago

You should use identity

0Thank You

ANSWER

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CBSE > Class 09 > Mathematics