IDNLearn.com is your reliable source for expert answers and community insights. Our Q&A platform is designed to provide quick and accurate answers to any questions you may have.
Sagot :
Certainly! Let's simplify the given algebraic expression step by step:
Expression:
[tex]\[ 2b(3a - c) + 12ac - b^2 \][/tex]
### Step 1: Distribute \(2b\) in the first term
Distribute \(2b\) across the parentheses in the term \(2b(3a - c)\):
[tex]\[ 2b(3a - c) = 2b \cdot 3a - 2b \cdot c \][/tex]
[tex]\[ = 6ab - 2bc \][/tex]
### Step 2: Substitute the expanded term back into the expression
Now, replace \(2b(3a - c)\) in the original expression with its expanded form \(6ab - 2bc\):
[tex]\[ 6ab - 2bc + 12ac - b^2 \][/tex]
### Step 3: Look for like terms
In the current expression
[tex]\[ 6ab - 2bc + 12ac - b^2 \][/tex]
there are no like terms to combine as each term is unique:
- \(6ab\): A term involving both \(a\) and \(b\).
- \(-2bc\): A term involving both \(b\) and \(c\).
- \(12ac\): A term involving both \(a\) and \(c\).
- \(-b^2\): A squared term in \(b\).
### Final Simplified Expression
Since there are no like terms to combine further, the simplified expression is:
[tex]\[ 6ab - 2bc + 12ac - b^2 \][/tex]
So, the final answer is:
[tex]\[ 6ab - 2bc + 12ac - b^2 \][/tex]
Expression:
[tex]\[ 2b(3a - c) + 12ac - b^2 \][/tex]
### Step 1: Distribute \(2b\) in the first term
Distribute \(2b\) across the parentheses in the term \(2b(3a - c)\):
[tex]\[ 2b(3a - c) = 2b \cdot 3a - 2b \cdot c \][/tex]
[tex]\[ = 6ab - 2bc \][/tex]
### Step 2: Substitute the expanded term back into the expression
Now, replace \(2b(3a - c)\) in the original expression with its expanded form \(6ab - 2bc\):
[tex]\[ 6ab - 2bc + 12ac - b^2 \][/tex]
### Step 3: Look for like terms
In the current expression
[tex]\[ 6ab - 2bc + 12ac - b^2 \][/tex]
there are no like terms to combine as each term is unique:
- \(6ab\): A term involving both \(a\) and \(b\).
- \(-2bc\): A term involving both \(b\) and \(c\).
- \(12ac\): A term involving both \(a\) and \(c\).
- \(-b^2\): A squared term in \(b\).
### Final Simplified Expression
Since there are no like terms to combine further, the simplified expression is:
[tex]\[ 6ab - 2bc + 12ac - b^2 \][/tex]
So, the final answer is:
[tex]\[ 6ab - 2bc + 12ac - b^2 \][/tex]
Answer:
hello
Step-by-step explanation:
2b(3a-c) + 12ac - b²
=2b*3a -2b*c +12ac -b²
=6ba - 2bc + 12ac - b²
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com is committed to providing the best answers. Thank you for visiting, and see you next time for more solutions.
