Answer :
Sure! Let's go through the detailed, step-by-step solutions for factoring out the coefficients of the variables in each problem:
12. Factor out the coefficient of the variable in [tex]\(2b + 8\)[/tex]:
- Look at the expression [tex]\(2b + 8\)[/tex].
- Notice that each term in the expression can be divided by 2.
- Factor out 2, the greatest common factor, from both terms.
- This results in: [tex]\(2(b + 4)\)[/tex].
13. Factor out the coefficient of the variable in [tex]\(\frac{1}{4}y + \frac{3}{8}\)[/tex]:
- Consider the expression [tex]\(\frac{1}{4}y + \frac{3}{8}\)[/tex].
- The smallest number both terms can be divided by is [tex]\(\frac{1}{8}\)[/tex].
- Factor out [tex]\(\frac{1}{8}\)[/tex].
- Rewriting the expression gives: [tex]\(\frac{1}{8}(2y + 3)\)[/tex].
- Note: The answer was simplified as approximately 0.375 from the calculations above.
14. Factor out the coefficient of the variable in [tex]\(1.7j - 3.4\)[/tex]:
- Look at the expression [tex]\(1.7j - 3.4\)[/tex].
- Notice that both terms can be divided by 1.7.
- Factor out the 1.7 from both terms.
- This results in: [tex]\(1.7(j - 2)\)[/tex].
- Note that 3.4 being factored out was represented as approximately 3.4(0.5).
15. Factor out the coefficient of the variable in [tex]\(-5p + 20\)[/tex]:
- Examine the expression [tex]\(-5p + 20\)[/tex].
- Each term can be divided by -5.
- Factor out -5.
- This results in: [tex]\(-5(p - 4)\)[/tex].
These steps detail the method used for factoring out the coefficients in the given expressions. If you have more questions or need further clarification, feel free to ask!
12. Factor out the coefficient of the variable in [tex]\(2b + 8\)[/tex]:
- Look at the expression [tex]\(2b + 8\)[/tex].
- Notice that each term in the expression can be divided by 2.
- Factor out 2, the greatest common factor, from both terms.
- This results in: [tex]\(2(b + 4)\)[/tex].
13. Factor out the coefficient of the variable in [tex]\(\frac{1}{4}y + \frac{3}{8}\)[/tex]:
- Consider the expression [tex]\(\frac{1}{4}y + \frac{3}{8}\)[/tex].
- The smallest number both terms can be divided by is [tex]\(\frac{1}{8}\)[/tex].
- Factor out [tex]\(\frac{1}{8}\)[/tex].
- Rewriting the expression gives: [tex]\(\frac{1}{8}(2y + 3)\)[/tex].
- Note: The answer was simplified as approximately 0.375 from the calculations above.
14. Factor out the coefficient of the variable in [tex]\(1.7j - 3.4\)[/tex]:
- Look at the expression [tex]\(1.7j - 3.4\)[/tex].
- Notice that both terms can be divided by 1.7.
- Factor out the 1.7 from both terms.
- This results in: [tex]\(1.7(j - 2)\)[/tex].
- Note that 3.4 being factored out was represented as approximately 3.4(0.5).
15. Factor out the coefficient of the variable in [tex]\(-5p + 20\)[/tex]:
- Examine the expression [tex]\(-5p + 20\)[/tex].
- Each term can be divided by -5.
- Factor out -5.
- This results in: [tex]\(-5(p - 4)\)[/tex].
These steps detail the method used for factoring out the coefficients in the given expressions. If you have more questions or need further clarification, feel free to ask!
