Question

Guys plz help me out.....
a^4-11a^2+10

Answer 1

Heya!!

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To factorize : a^4 - 11a^2 +10

By middle term splitting method,

= a^4 - 10a^2 - a^2 + 10

= a^2 (a^2 - 10) - 1(a^2-10)

= (a^2-1) (a^2 - 10)

= (a+1)(a-1)(a^2 - 10)

Hope it helps u :)

Answer 2

Hi friend, Harish here.

Here is your answer:

$a^{4} - 11 a^{2} + 10$

Now, we can factorize this using splitting the middle term.

here  x + y = -11  & ab = 10.. So a = -1 & b = -2

Then, 

$a^{4} - 1a^{2} - 10a^{2} + 10$

⇒  $a^{2}(a^{2} - 1)-10(a^{2}-1)$

⇒ $(a^{2}-10)(a^{2}-1)$

We know that, a² - b² = (a+b) (a-b)

So, We can Again factorize (a²-1) .

⇒  $(a^{2}-10)(a^{2}-1) = (a^{2} -10)(a+1)(a-1)$

Hence it is factorized.
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Hope my answer is helpful to you.