erweitern (3log_{10}(x)+5x^2)(log_{10}(x+5)+8x)

Lösung

erweitern

(3 lo g_{10} (x) + 5 x^{2}) (lo g_{10} (x + 5) + 8 x)

3 lo g_{10} (x) lo g_{10} (x + 5) + 24 x lo g_{10} (x) + 5 x^{2} lo g_{10} (x + 5) + 40 x^{3}

Schritte zur Lösung

(3 lo g_{10} (x) + 5 x^{2}) (lo g_{10} (x + 5) + 8 x)

Apply FOIL method

(3 lo g_{10} (x) + 5 x^{2}) (lo g_{10} (x + 5) + 8 x) : 3 lo g_{10} (x) lo g_{10} (x + 5) + 24 x lo g_{10} (x) + 5 x^{2} lo g_{10} (x + 5) + 40 x^{3}

= 3 lo g_{10} (x) lo g_{10} (x + 5) + 24 x lo g_{10} (x) + 5 x^{2} lo g_{10} (x + 5) + 40 x^{3}

s im pl i f y (x + 2) (x - 2) (x - 3) (x + 3)

e x p an d (x + \frac{2}{9})^{3} (x + \frac{1}{3})^{2}

e x p an d \frac{3}{x ( x + 3 )}

e x p an d, 2 (x + 1) (x - 1) (x - 2)

e x p an d (x = 0, y = 0) (x = 2, y = - 4)