What is factor 343sin^3(x)+1000 ?

The solution to factor 343sin^3(x)+1000 is (7sin(x)+10)(49sin^2(x)-70sin(x)+100)

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factor 343sin^3(x)+1000

factor

343 sin^{3} (x) + 1000

(7 sin (x) + 10) (49 sin^{2} (x) - 70 sin (x) + 100)

Solution steps

343 sin^{3} (x) + 1000

Rewrite

343 sin^{3} (x) + 1000

(7 sin (x))^{3} + 1 0^{3}

= (7 sin (x))^{3} + 1 0^{3}

Apply Sum of Cubes Formula:

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

(7 sin (x))^{3} + 1 0^{3} = (7 sin (x) + 10) (7^{2} sin^{2} (x) - 10 \cdot 7 sin (x) + 1 0^{2})

= (7 sin (x) + 10) (7^{2} sin^{2} (x) - 10 \cdot 7 sin (x) + 1 0^{2})

Refine

= (7 sin (x) + 10) (49 sin^{2} (x) - 70 sin (x) + 100)

(a + b)^{2} - (a + b) - 6

15 x + 18 x

4^{2} + 4^{2} + 4^{2} + 4^{2}

(6 x - 6) + h

\frac{d}{d t} ((s) (6 sin (2 t)))

What is factor 343sin^3(x)+1000 ?
The solution to factor 343sin^3(x)+1000 is (7sin(x)+10)(49sin^2(x)-70sin(x)+100)