Connect with experts and get insightful answers to your questions on IDNLearn.com. Our platform offers reliable and comprehensive answers to help you make informed decisions quickly and easily.
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 value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Discover the answers you need at IDNLearn.com. Thanks for visiting, and come back soon for more valuable insights.