展开 (4x^2-12x+9)*m^2

解答

展开

(4 x^{2} - 12 x + 9) \cdot m^{2}

4 m^{2} x^{2} - 12 x m^{2} + 9 m^{2}

求解步骤

(4 x^{2} - 12 x + 9) m^{2}

= m^{2} (4 x^{2} - 12 x + 9)

使用分配律:

m (a + b + c) = ma + mb + m c

m^{2} (4 x^{2} - 12 x + 9) = m^{2} \cdot 4 x^{2} + m^{2} (- 12 x) + m^{2} \cdot 9

= m^{2} \cdot 4 x^{2} + m^{2} (- 12 x) + m^{2} \cdot 9

化简

m^{2} \cdot 4 x^{2} + m^{2} (- 12 x) + m^{2} \cdot 9 : 4 m^{2} x^{2} - 12 x m^{2} + 9 m^{2}

= 4 m^{2} x^{2} - 12 x m^{2} + 9 m^{2}

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