Verify the following by taking \( a=2, b=\frac{1}{4} \) and \( c=-6 \) \( \begin{array}{ll}\text { (a) } a b+a c=a(b+c) & \text { (b) } b a+c a=(b+c) a \\ \text { (c) } a b-a c=a(b-c) & \text { (d) } b a-c a=(b-c) a\end{array} \)

The maximum force exerted onto a child sitting at rest is 52.4 N due to static friction. The coefficient of static friction is 0.146 . What is the mass of the child?

Ray

Realiza las siguientes multiplicaciones entre polinomios 1. \( (a-b)(a+b)= \) 2. \( \left(a+2 a b+5 b^{2}\right)(2 a+3)= \) 3. \( (x-y)\left(x^{2}+x y+y^{2}\right)= \) 4. \( (2 x+3 z)(2 x-3 z)= \) 5. \( \left(x^{3}-y^{3}\right)\left(x^{3}+y^{3}\right)= \) 6. \( (x-y)^{2}= \) 7. \( (a+b)^{3}= \) 8. \( \left(3 x^{2}+\frac{1}{2} x-8\right)\left(-\frac{4}{3} x-\frac{2}{9}\right)= \) 9. \( \left(\frac{2}{7} x^{6} y^{4} z^{2}+3 x y z\right)\left(\frac{5}{11} x y z-3 x^{6} y^{4} z^{2}=\right. \)

Determina si la función es par, impar o ninguna. Real 1. \( f(x)=-x^{2}+5 \)

\( 25,304 \times 33 \left\lvert\, \begin{array}{l}6 \\ \text { Determine } \\ \text { rectangle, }\end{array}\right. \)