因式分解 30pir^2+4pir^3-4500

解答

因式分解

30 π r^{2} + 4 π r^{3} - 4500

2 (15 π r^{2} + 2 π r^{3} - 2250)

求解步骤

30 π r^{2} + 4 π r^{3} - 4500

改写为

= 2 \cdot 15 π r^{2} + 2 \cdot 2 π r^{3} - 2 \cdot 2250

因式分解出通项

2

= 2 (15 π r^{2} + 2 π r^{3} - 2250)

f a c t or a r + b r + a t + b t

f a c t or x^{2} + 4 x^{2}

f a c t or (a - b)^{3} + c^{6}

f a c t or lo g_{2} (23 + 2)

f a c t or 10 (x y)