Question

Simplify the following algebraic expression: 4+3 [6z - 5(6 +2z)]

Answer 1

Multiply z and 6
Multiply z and 1

The z just gets copied along.

The answer is z

z

6*z evaluates to 6z

Multiply z and 2

Multiply z and 1

The z just gets copied along.

The answer is z

z

2*z evaluates to 2z

6+2*z evaluates to 6+2z

Multiply 5 by 6+2z

we multiply 5 by each term in 6+2z term by term.

This is the distributive property of multiplication.

Multiply 5 and 6

1

5 × 6 = 30

Multiply 5 and 2z

Multiply 1 and z

The z just gets copied along.

z

5 × 2z = 10z

5*(6+2*z) evaluates to 30+10z

6z - 10z = -4z

The answer is -4z-30

6*z-5*(6+2*z) evaluates to -4z-30

Multiply 3 by -4z-30

we multiply 3 by each term in -4z-30 term by term.

This is the distributive property of multiplication.

Multiply 3 and -4z

Multiply 1 and z

The z just gets copied along.

z

3 × -4z = -12z

Multiply 3 and -30

1

3 × -30 = -90

3*[6*z-5*(6+2*z)] evaluates to -12z-90

4 + -90 = -86

The answer is -86-12z

4+3*[6*z-5*(6+2*z)] evaluates to -86-12z

The final answer is -86-12z

The answer is -86-12z

4+3*[6*z-5*(6+2*z)] evaluates to -86-12z

Answer 2

$\huge\text{Hey there!}$

$\huge\text{4+3 [6z - 5(6 +2z)]}$

$\huge\text{4+(3)(6z)+(3)(-5(6+2z))}\\\\\rightarrow\huge\text{4+18z+(-30z)+(-90)}$

$\huge\text{\bf{Combine the like terms if you have any.}}$

$\huge\text{Like term \#1: 10z \& -30z}\\\\\\\huge\text{Like term \#2: 4 \& -90}$

$\huge\text{18z + (-30z) + (4 + (-90))}$

$\huge\text{18z + (-30z) = -12z}\\\\\\\huge\text{4 + (-90) = -86}$

$\boxed{\boxed{\huge\text{Answer: -12z + (-86)}}}\huge\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~$\frak{LoveYourselfFirst:)}$