factorise a^4-20a^2+8
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Hi ,
a⁴ - 20a² + 8
= ( a² )² - 2 × a² × 10 + 8
= ( a² )² - 2 × a² × 10 + 10² + 8 - 10²
= ( a² - 10 )² + 8 - 100
= ( a² - 10 )² - 92
= ( a² - 10 )² - ( √ 92 )²
= ( a² - 10 + √92 ) ( a² - 10 - √ 92 )
I hope this helps you.
: )
a⁴ - 20a² + 8
= ( a² )² - 2 × a² × 10 + 8
= ( a² )² - 2 × a² × 10 + 10² + 8 - 10²
= ( a² - 10 )² + 8 - 100
= ( a² - 10 )² - 92
= ( a² - 10 )² - ( √ 92 )²
= ( a² - 10 + √92 ) ( a² - 10 - √ 92 )
I hope this helps you.
: )
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