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

Add the terms

More Steps

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

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

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

Add the terms

More Steps

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

Solution

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

Simplify the expression