Solve 5z^25z^2 -10z^3z

Question

Simplify the expression

15 z^{4}

Evaluate

5 z^{2} \times 5 z^{2} - 10 z^{3} \times z

Multiply

More Steps

Multiply the terms

5 z^{2} \times 5 z^{2}

Multiply the terms

25 z^{2} \times z^{2}

Multiply the terms with the same base by adding their exponents

25 z^{2 + 2}

Add the numbers

25 z^{4}

25 z^{4} - 10 z^{3} \times z

Multiply

More Steps

Multiply the terms

10 z^{3} \times z

Multiply the terms with the same base by adding their exponents

10 z^{3 + 1}

Add the numbers

10 z^{4}

25 z^{4} - 10 z^{4}

Collect like terms by calculating the sum or difference of their coefficients

(25 - 10) z^{4}

Solution

15 z^{4}

Show Solution

z = 0

Evaluate

5 z^{2} \times 5 z^{2} - 10 z^{3} \times z

To find the roots of the expression,set the expression equal to 0

5 z^{2} \times 5 z^{2} - 10 z^{3} \times z = 0

Multiply

More Steps

Multiply the terms

5 z^{2} \times 5 z^{2}

Multiply the terms

25 z^{2} \times z^{2}

Multiply the terms with the same base by adding their exponents

25 z^{2 + 2}

Add the numbers

25 z^{4}

25 z^{4} - 10 z^{3} \times z = 0

Multiply

More Steps

Multiply the terms

10 z^{3} \times z

Multiply the terms with the same base by adding their exponents

10 z^{3 + 1}

Add the numbers

10 z^{4}

25 z^{4} - 10 z^{4} = 0

Subtract the terms

More Steps

Simplify

25 z^{4} - 10 z^{4}

Collect like terms by calculating the sum or difference of their coefficients

(25 - 10) z^{4}

Subtract the numbers

15 z^{4}

15 z^{4} = 0

Rewrite the expression

z^{4} = 0

Solution

z = 0

Show Solution