Math, asked by hamdashafeeq2004, 2 months ago

factorize 25a⁶-25b⁶, we get​

Answers

Answered by TaeTaePopsicle
36

Answer:

Try replacing x with u2 to clear the fractional exponents.

If u2=x, we get 3x3/2−9x1/2+6x−1/2=3(u2)3/2−9(u2)1/2+6(u2)−1/2 =3u3−9u+6u−1

Next, factor out u−1 and get 3u−1(u4−3u2+2).

This is now quadratic in u2 (which is x) so we get 3x−1/2(x2−3x+2)=

3(x−2)(x−1)x−−√

Of course, you can avoid introducing u if you see that factoring out x−1/2 at the beginning leaves you with a quadratic in x.

Answered by Sadhana4748
2

Answer:

25 {a}^{6}  - 25 {b}^{6}  \\  {(5 {a}^{3} )}^{2}  -  {(5 {b}^{3}) }^{2}  \\(5 {a}^{3}  - 5 {b}^{3} ) (5 {a}^{3}  + 5 {b}^{3} )

Step-by-step explanation:

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