Math, asked by sachindrapadhapacfcl, 1 year ago

a^6+4a^3-1 find factor

hukam0685: it cannot be factorize

Answers

Answered by puckdo

split the middle term

sachindrapadhapacfcl: it can't

sachindrapadhapacfcl: there is answer in 9th class book

puckdo: where ncert?

sachindrapadhapacfcl: yes

sachindrapadhapacfcl: Sorry. scert

puckdo: ok

Answered by hukam0685

${a}^{6} + 4 {a}^{3} + 4 - 4 - 1 \\ ( { {a}^{3} )}^{2} + 2(2) {a}^{3} + {(2)}^{2} - 5 \\ {( {a}^{3} + 2)}^{2} - ( { \sqrt{5}) }^{2} \\$
use identity
${a}^{2} - {b}^{2} = (a + b)(a - b) \\ ( {a}^{3} + 2 + \sqrt{5})( {a}^{3} + 2 - \sqrt{5} )$
are the factors.

sachindrapadhapacfcl: this answer is not equal to the given ans in the book of class 9

hukam0685: there is no other method,please send me the answer

sachindrapadhapacfcl: I can't now .but tomorrow I will

hukam0685: ok

sachindrapadhapacfcl: (a^2+a+1)(a^4-a^3+2a^2+a+1)

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