Question

simplify: (a+b) (a-b) (a²+b²) .

who will say correctly and step by step i will mark as brainlist. and i will follow you.​

Answer 1

Answer:

(a+b) (a+b) (a²+b²)

a(a+b) +b(a+b) (a²+b²)

a²+ab+ab+b² (a²+b²)

(a²+2ab+b²) (a²+b²)

a²(a²+2ab+b²)+b²(a²+2ab+b²)

a⁴+2a²b+a²b²+a²b²+2ab²+b⁴

bhai mne math nhi krti sorry galt hai yw

Answer 2

Question :

To simplify (a+b)(a-b)(a²+b²)

Answer :

we know that :

$\rm{(x+y) (x-y)=x²-y² }$for all positive numbers x,y with x>y.

$\sf = > (a + b)(a - b)( {a}^{2} + {b}^{2} )$

$= > \sf \: (a + b)(a - b) = ( {a}^{2} - {b}^{2} )$

$= > \sf \: ( {a}^{2} - {b}^{2} )( {a}^{2} + {b}^{2} )$

$= > \sf( {a}^{2} )^{2} - ( {b}^{2}) ^{2}$

$= >\sf {a}^{4} - {b}^{4}$

$\bf \: (a + b)(a - b)( {a}^{2} + {b}^{2} ) = {a}^{4} - {b}^{4}$