Question

express the following expressions in the square form. 4a^2-4+1/a^2​

Answer 1

Answer:

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Factoring  4a4 - 4a2 - 1

The first term is,  4a4  its coefficient is  4 .

The middle term is,  -4a2  its coefficient is  -4 .

The last term, "the constant", is  -1

Step-1 : Multiply the coefficient of the first term by the constant   4 • -1 = -4

Step-2 : Find two factors of  -4  whose sum equals the coefficient of the middle term, which is   -4 .

     -4    +    1    =    -3

     -2    +    2    =    0

     -1    +    4    =    3

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 2 • (4a4 - 4a2 - 1)

 ———————————————————

    a2 • (2a - 1)