Question

simplify (a-b+c)(a+b+c)​

Answer 1

Step-by-step explanation:

GIVEN:-

• (a-b+c)(a+b+c)

SOLUTION:-

$= a(a + b + c) - b(a + b + c)c(a + b + c)$

$= {a}^{2} + ab + ac - ab - {b}^{2} - bc + ac + bc + {c}^{2}$

$= {a}^{2} - {b}^{2} + {c}^{2} + 2ac$

$Therefore,$

${\boxed{ \color{red}{(a + b + c)(a-b+c)= {a}^{2}-{b}^{2}+{c}^{2}+2ac}}}$