Question

(a_b)(a+b)(a2+b2)(a4+b4)=

Answer 1

Hey friend,
Here is the answer you were looking for:
$(a - b)(a + b)( {a}^{2} + {b}^{2} )( {a}^{4} + {a}^{4} ) \\ \\ using \: the \: identity \\ (a + b)(a - b) = {a}^{2} - {b}^{2} \\ \\ = ( {a}^{2} - {b}^{2} )( {a}^{2} + {b}^{2} )( {a}^{4} + {a}^{4} ) \\ \\ using \: same \: identity \\ putting \: a = {a}^{2} \\ and \: b \: = {b}^{2} \\ \\ ( {( {a}^{2}) }^{2} - ( {( {b}^{2}) }^{2} )( {a}^{4} + {b}^{4} ) \\ \\ = ( {a}^{2 \times 2} - {b}^{2 \times 2} )( {a}^{4} + {b}^{4} ) \\ \\ = ( {a}^{4} - {b}^{4} )( {a}^{4} + {a}^{4} ) \\ \\ putting \: a \: = {a}^{4} \\ b = {b}^{4} \\ \\ =( {a}^{4} )^{2} - ({a}^{4} )^{2} \\ \\ = {a}^{4 \times 2} - {b}^{4 \times 2} \\ \\ = {a}^{8} - {b}^{8}$


Hope this helps!!!!

@Mahak24

Thanks...
☺☺

Answer 2

Answer:

Step-by-step explanation: