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Piyush885:
(a²+b²)² - 2ab
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Heya user this is your answer..
a⁴+b⁴ can be factorized as ...
let me tell you first one another formula you have to remember :
4a^2b^2=(a^2+b^2)^2 —(a^2-b^2);
now coming to the question we get by simplification :
a^4+b^4=(a^2)^2+(b^2)^2;
=(a^2+b^2)^2–2a^2b^2;
=(a^2+b^2)^2—(1/2)[4a^2b^2];
now applying the upper mentioned simplification :
=(a^2+b^2)^2—(1/2)[(a^2+b^2)^2—(a^2-b^2)^2];
=(1/2){(a^2+b^2)^2+(a^2-b^2 )^2};
another one :
a^4+b^4=(a^2)^2+(b^2)^2;
=(a^2+b^2)^2–2a^2b^2;
=(a^2+b^2)^2—(√ 2ab)^2;
=(a^2+√ 2ab+b^2)(a^2-√ 2ab+b^2);
any of these two you can use according to your requirement .
happy for help.
hope it helps .
thank you .✌✌
a⁴+b⁴ can be factorized as ...
let me tell you first one another formula you have to remember :
4a^2b^2=(a^2+b^2)^2 —(a^2-b^2);
now coming to the question we get by simplification :
a^4+b^4=(a^2)^2+(b^2)^2;
=(a^2+b^2)^2–2a^2b^2;
=(a^2+b^2)^2—(1/2)[4a^2b^2];
now applying the upper mentioned simplification :
=(a^2+b^2)^2—(1/2)[(a^2+b^2)^2—(a^2-b^2)^2];
=(1/2){(a^2+b^2)^2+(a^2-b^2 )^2};
another one :
a^4+b^4=(a^2)^2+(b^2)^2;
=(a^2+b^2)^2–2a^2b^2;
=(a^2+b^2)^2—(√ 2ab)^2;
=(a^2+√ 2ab+b^2)(a^2-√ 2ab+b^2);
any of these two you can use according to your requirement .
happy for help.
hope it helps .
thank you .✌✌
Answered by
0
a⁴+b⁴=(a²)²+(b²)² -2ab
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