Math, asked by gauravagarwal10, 1 year ago

please factorize a⁴+4​

Answers

Answered by niteshpal1837
4

Step-by-step explanation:

  1. (a  { }^{2}   + 2) {}^{2}  - 4a {}^{2}
Answered by Jaswindar9199
0

Factorised form is (a+2)² - 4a

GIVEN:- a⁴+4

TO FIND:- Factorization

SOLUTION:-

  • a⁴ is a square of a² so a⁴ can be written as (a²)²
  • 4 is a square of 2 so 4 can be written as (2)²

By factorizing

a⁴+4

By applying formula a²+b² = (a+b)² - 2ab

Where, b= 2

or \: ( { {a}^{2} })^{2}  +  {2}^{2}  \\  or \:  ({a + 2})^{2}  - 2 \times a \times 2 \\ or \: ( {a + 2})^{2}  - 4a

Hence, factorised form is (a+2)² - 4a

#SPJ2

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