Question

factorize 0.0324x⁴ - 0.0064b⁴​

Answer 1

a 2 − b 2 = ( a + b ) ( a − b )  where  a = 9 x 2  and  b = 4 b 2 . 0.0004 ( 9 x 2 + 4 2 ) ( 3 x + 2 b ) ( 3 x − 2 b )

Answer 2

Answer:

(18×^4-16b^4)

Step-by-step explanation:

0.0324×^2-0.0064b^2

0.0324=18/2500

0.0064=16/2500

thus,

0.0324x^2-0.0064b^2=1/2500

=(18×^4-16^4)

18×4-16b^4=(9x^2-4b^2)(9x^2+4b^2)

= (3x- 2b)(3x+2b)(9x^2+4b^2)

identity : a^2-b^2=(a+b)(a-b)

so that,

(3x-2b)(3x+2b)(9x^2+4b^2)/2500