Question

find continued product of (a-b)(a+b)(a^2+b^2)(a^4+b^4)​

Answer 1

$\:\:\:\: \: \: \: \: \: \: \: \: \: \: \huge\mathcal{\bf{\underline{\underline{\huge\mathcal{Answer}}}}}$

$\large\mathcal\red{......Formula\:: used....}$

$(x {}^{2} - y {}^{2}) = (x + y)(x - y)$

$\large\mathcal\red{solution}$

$[(a - b)(a + b)](a {}^{2} + b {}^{2} )(a {}^{4} + b {}^{4} ) \\ = [(a {}^{2} - b {}^{2} )(a {}^{2} + b {}^{2} )](a {}^{4} + b {}^{4} ) \\ = (a {}^{4} - b {}^{4}) (a {}^{4} + b {}^{4} ) \\ = (a {}^{8} - b {}^{8} )$

$\large\mathcal\red{hope\: this \: helps \:you......}$

Answer 2

Answer:

a^8-b^8

Step-by-step explanation:

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

∴ (a^2-b^2)(a^2+b^2)=a^4-b^4

(a^4-b^4)(a^4+b^4)=a^8-b^8