Question

factorize: 0.0324x⁴ - 0.0064b⁴​

Answer 1

0.00324 = 81/2500

0.0064 = 16/2500

Thus, 0.0324x⁴ - 0.0064b⁴ = 1/2500 * ( 81x⁴ - 16b⁴ )

$81x^4-16b^4=(9x^2-4b^2)(9x^2+4b^2)=(3x-2b)(3x+2b)(9x^2+4b^2)$

( Identity : a² - b² = ( a + b ) * ( a - b ) )

∴$\frac{(3x-2b)(3x+2b)(9x^2+4b^2)}{2500}$

Answer 2

step by step

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