What is expand (x^2z)(3x^2y^3+z^4) ?

The solution to expand (x^2z)(3x^2y^3+z^4) is 3x^4zy^3+x^2z^5

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expand (x^2z)(3x^2y^3+z^4)

expand

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

3 x^{4} z y^{3} + x^{2} z^{5}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

= x^{2} z \cdot 3 x^{2} y^{3} + x^{2} z z^{4}

Simplify

x^{2} z \cdot 3 x^{2} y^{3} + x^{2} z z^{4} : 3 x^{4} z y^{3} + x^{2} z^{5}

= 3 x^{4} z y^{3} + x^{2} z^{5}

- 8 + (- 6)

1 \div \frac{2}{2}

(2 x - 6) (2 x - 8)

I n (e)

s^{2} - 13 s + 42

What is expand (x^2z)(3x^2y^3+z^4) ?
The solution to expand (x^2z)(3x^2y^3+z^4) is 3x^4zy^3+x^2z^5