What is expand (4x^2-12x+9)*m^2 ?

The solution to expand (4x^2-12x+9)*m^2 is 4m^2x^2-12xm^2+9m^2

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expand (4x^2-12x+9)*m^2

expand

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

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

Solution steps

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

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

Apply the distributive law:

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

Simplify

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}

3 x^{2} - 7 x y + 2 y^{2}

64 x^{6} \cdot y^{3} - 8 x^{3} \cdot y^{6}

x^{24} - 2 r \cdot [\frac{1}{( 2 x ^{4} )}]^{r}

\frac{( - x ^{5} y ^{7} )}{( - x ^{4} y ^{5} )}

(a - b) (b - a) (a - b) 2 (a + b)

What is expand (4x^2-12x+9)*m^2 ?
The solution to expand (4x^2-12x+9)*m^2 is 4m^2x^2-12xm^2+9m^2