Question

(a 2
– 2ab + b² )× (a² + 2ab + b2)​

Answer 1

$\huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \: \: SOLUTION \: \: } \mid}}}}}$

$\sf{ \red{(a {}^{2} - 2ab + b {}^{2} ) \times (a {}^{2} + 2ab + b {}^{2} ) }}\\ \\ \sf{ \blue{ = \{(a - b) {}^{2} \} \times \{(a + b) {}^{2} \}} }\\ \\ \sf{ \green{= (a - b)(a - b)(a + b)(a + b)}} \\ \\ \sf{ \pink{ = \{(a - b)(a + b) \}\{(a - b)(a + b) \}} }\\ \\ \sf{= (a {}^{2} - b {}^{2} )(a {}^{2} - b {}^{2} ) }\\ \\ \sf{ \pink{= a {}^{2} (a {}^{2} - b {}^{2} ) - b {}^{2} (a {}^{2} - b {}^{2} )}} \\ \\ \sf{ \green{= a {}^{2}.a {}^{2} - a {}^{2} .b {}^{2} - b {}^{2} .a {}^{2} + b{}^{2} . b{}^{2} } } \\ \\ \sf{ \blue{ = a {}^{4} - a {}^{2} b {}^{2} - a {}^{2} b {}^{2} + b {}^{4}}} \\ \\ \sf{ \red{= a {}^{4} - 2a {}^{2} b {}^{2} + b {}^{4} }}$