因式分解 x^7+64x^2

解答

因式分解

x^{7} + 64 x^{2}

x^{2} (x^{5} + 64)

求解步骤

x^{7} + 64 x^{2}

使用指数法则:

a^{b + c} = a^{b} a^{c}

x^{7} = x^{5} x^{2}

= x^{5} x^{2} + 64 x^{2}

因式分解出通项

x^{2}

= x^{2} (x^{5} + 64)

f a c t or c_{1} e^{x} + c_{2} e^{- x}

f a c t or (p + q)^{3} - (p - q)^{3}

f a c t or 147

f a c t or 6 x^{2} + 3 x^{7}

f a c t or x^{6} - 27 x^{4} + 243 x^{2} - 729