Question

evaluate (z-1/6)(z+6)
​

Answer 1

Answer:

$\large\boxed{z^2+\frac{35z}{6}-1 }$

Step-by-step explanation:

To solve this problem, first you have to use foil method formula.

Given:

(z-1/6)(z+6)

Solutions:

First, you have to use the foil method formula.

$\large\boxed{\textnormal{FOIL Method Formula}}$

$\displaystyle (a+b)(c+d)=ac+ad+bc+bd$

A=Z

B=(-1/6)

C=Z

D=6

Rewrite the whole problem down.

$\displaystyle zz+z*6+(-\frac{1}{6})z+(-\frac{1}{6})*6$

Change negative sign to positive sign.

$\displaystyle +(-d)=-d$

$\displaystyle zz+6z-\frac{1}{6}z-6*\frac{1}{6}$

Solve.

$\displaystyle zz+6z-\frac{1}{6}z-6*\frac{1}{6}=\boxed{z^2+\frac{35z}{6}-1}$

$\large\boxed{z^2+\frac{35z}{6}-1}$

So, the final answer is z²+35z/6-1.

Answer 2

AnswEr :

$\Rightarrow(z - \frac{1}{6} )(z + 6)$

$\Rightarrow z(z + 6) - \frac{1}{6} (z + 6)$

$\Rightarrow {z}^{2} + 6z - \frac{z}{6} - \frac{6}{6}$

$\Rightarrow {z}^{2} + 6z - \frac{z}{6} - 1$

• Multiplying Each term by 6

$\Rightarrow 6{z}^{2} + 35z - 6$

$\Rightarrow 6{z}^{2} + 36z - z - 6$

$\Rightarrow6z(z + 6) - 1(z + 6)$

$\Rightarrow(6z - 1)(z + 6)$

$\huge{\red{\ddot{\smile}}}$