Solve (a+b+c)(a-b+c)

Evaluate

(a + b + c) (a - b + c)

Apply the distributive property

a \times a - ab + a c + ba - b \times b + b c + c a - c b + c \times c

Multiply the terms

a^{2} - ab + a c + ba - b \times b + b c + c a - c b + c \times c

Multiply the terms

a^{2} - ab + a c + ba - b^{2} + b c + c a - c b + c \times c

Multiply the terms

a^{2} - ab + a c + ba - b^{2} + b c + c a - c b + c^{2}

Add the terms

More Steps

a^{2} + 0 + a c - b^{2} + b c + c a - c b + c^{2}

Removing 0 doesn't change the value,so remove it from the expression

a^{2} + a c - b^{2} + b c + c a - c b + c^{2}

Add the terms

More Steps

a^{2} + 2 a c - b^{2} + b c - c b + c^{2}

Subtract the terms

More Steps

a^{2} + 2 a c - b^{2} + 0 + c^{2}

Solution

a^{2} + 2 a c - b^{2} + c^{2}

Simplify the expression