Find expert advice and community support for all your questions on IDNLearn.com. Find the information you need quickly and easily with our comprehensive and accurate Q&A platform.
Sagot :
To simplify the expression [tex]\(7 x^2 - 4 x + 4 x^2\)[/tex], follow these steps:
1. Combine like terms:
First, identify the like terms in the expression. In this case, [tex]\(7 x^2\)[/tex] and [tex]\(4 x^2\)[/tex] are like terms because they both have the same variable raised to the same power.
2. Add the coefficients of the like terms:
Combine the coefficients of [tex]\(x^2\)[/tex] terms:
[tex]\[ 7 x^2 + 4 x^2 = (7 + 4) x^2 = 11 x^2 \][/tex]
3. Rewrite the expression:
After combining like terms, rewrite the expression. The term [tex]\(-4x\)[/tex] remains unchanged since it does not have any like terms:
[tex]\[ 11 x^2 - 4 x \][/tex]
4. Factor the expression (if possible):
Look for a common factor in the simplified expression. In this case, both terms contain [tex]\(x\)[/tex] as a factor:
[tex]\[ 11 x^2 - 4 x = x (11 x - 4) \][/tex]
Thus, the simplified expression is:
[tex]\[ x (11 x - 4) \][/tex]
And that is the fully simplified form of the given expression [tex]\(7 x^2 - 4 x + 4 x^2\)[/tex].
1. Combine like terms:
First, identify the like terms in the expression. In this case, [tex]\(7 x^2\)[/tex] and [tex]\(4 x^2\)[/tex] are like terms because they both have the same variable raised to the same power.
2. Add the coefficients of the like terms:
Combine the coefficients of [tex]\(x^2\)[/tex] terms:
[tex]\[ 7 x^2 + 4 x^2 = (7 + 4) x^2 = 11 x^2 \][/tex]
3. Rewrite the expression:
After combining like terms, rewrite the expression. The term [tex]\(-4x\)[/tex] remains unchanged since it does not have any like terms:
[tex]\[ 11 x^2 - 4 x \][/tex]
4. Factor the expression (if possible):
Look for a common factor in the simplified expression. In this case, both terms contain [tex]\(x\)[/tex] as a factor:
[tex]\[ 11 x^2 - 4 x = x (11 x - 4) \][/tex]
Thus, the simplified expression is:
[tex]\[ x (11 x - 4) \][/tex]
And that is the fully simplified form of the given expression [tex]\(7 x^2 - 4 x + 4 x^2\)[/tex].
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. IDNLearn.com is committed to providing the best answers. Thank you for visiting, and see you next time for more solutions.