What is (a+c)^2-(a-c)^2 ?

The solution to (a+c)^2-(a-c)^2 is 4ac

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simplify (a+c)^2-(a-c)^2

simplify

(a + c)^{2} - (a - c)^{2}

4 a c

Solution steps

(a + c)^{2} - (a - c)^{2}

Expand

(a + c)^{2} : a^{2} + 2 a c + c^{2}

= a^{2} + 2 a c + c^{2} - (a - c)^{2}

Expand

- (a - c)^{2} : - a^{2} + 2 a c - c^{2}

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

Group like terms

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

Add similar elements:

a^{2} - a^{2} = 0

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

Add similar elements:

c^{2} - c^{2} = 0

= 2 a c + 2 a c

Add similar elements:

2 a c + 2 a c = 4 a c

= 4 a c

x^{4} yz - 3 x^{2} yz - 2 x yz

x^{4} + 6 x^{3} + 33 x^{2} + 150 x + 200

ln (0.16)

(2 x y)^{3}

f (y) = - 2 y