What is factor 1+1000z^3 ?

The solution to factor 1+1000z^3 is (10z+1)(100z^2-10z+1)

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factor 1+1000z^3

factor

1 + 1000 z^{3}

(10 z + 1) (100 z^{2} - 10 z + 1)

Solution steps

1 + 1000 z^{3}

Write in the standard form

= 1000 z^{3} + 1

Apply exponent rules

= (10 z)^{3} + 1^{3}

Apply Sum of Cubes Formula:

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

(10 z)^{3} + 1^{3} = (10 z + 1) (1 0^{2} z^{2} - 10 z + 1)

= (10 z + 1) (1 0^{2} z^{2} - 10 z + 1)

1 0^{2} = 100

= (10 z + 1) (100 z^{2} - 10 z + 1)

a (a - 1)

(\frac{1}{4} x - 5)^{2}

\frac{( 3 x ^{2} + 14 x - 24 )}{( 3 x - 4 )}

(3 z + y) (3 z + y)

25 x^{6} - 4 y^{4}

What is factor 1+1000z^3 ?
The solution to factor 1+1000z^3 is (10z+1)(100z^2-10z+1)