What is (4xy^3+yz^2+xyz)-(xy^3+3yz^2+6xyz) ?

The solution to (4xy^3+yz^2+xyz)-(xy^3+3yz^2+6xyz) is -2yz^2+3xy^3-5xyz

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simplify (4xy^3+yz^2+xyz)-(xy^3+3yz^2+6xyz)

simplify

(4 x y^{3} + y z^{2} + x yz) - (x y^{3} + 3 y z^{2} + 6 x yz)

- 2 y z^{2} + 3 x y^{3} - 5 x yz

Solution steps

(4 x y^{3} + y z^{2} + x yz) - (x y^{3} + 3 y z^{2} + 6 x yz)

Apply rule:

(a) = a

(4 x y^{3} + y z^{2} + x yz) = 4 x y^{3} + y z^{2} + x yz

= 4 x y^{3} + y z^{2} + x yz - (x y^{3} + 3 y z^{2} + 6 x yz)

Apply the distributive law:

- (a + b) = - a - b

- (x y^{3} + 3 y z^{2} + 6 x yz) = - x y^{3} - 3 y z^{2} - 6 x yz

= 4 x y^{3} + y z^{2} + x yz - x y^{3} - 3 y z^{2} - 6 x yz

Group like terms

= y z^{2} - 3 y z^{2} + 4 x y^{3} - x y^{3} + x yz - 6 x yz

Add similar elements:

y z^{2} - 3 y z^{2} = - 2 y z^{2}

= - 2 y z^{2} + 4 x y^{3} - x y^{3} + x yz - 6 x yz

Add similar elements:

4 x y^{3} - x y^{3} = 3 x y^{3}

= - 2 y z^{2} + 3 x y^{3} + x yz - 6 x yz

Add similar elements:

x yz - 6 x yz = - 5 x yz

= - 2 y z^{2} + 3 x y^{3} - 5 x yz

\frac{11}{12} + \frac{5}{16}

\frac{( 5 + 2 i )}{( - 4 i )}

x^{3} - x^{2} - 20 x

\frac{3}{7} - \frac{2}{5}

- 21 - 6 x \geq 3

What is (4xy^3+yz^2+xyz)-(xy^3+3yz^2+6xyz) ?
The solution to (4xy^3+yz^2+xyz)-(xy^3+3yz^2+6xyz) is -2yz^2+3xy^3-5xyz