Let's simplify the given expression step-by-step.
The given expression is:
[tex]\[ 7x^2 - 4x + 4x^2 \][/tex]
1. Combine like terms:
- Identify like terms in the expression. Here, [tex]\(7x^2\)[/tex] and [tex]\(4x^2\)[/tex] are like terms because they both have the [tex]\(x^2\)[/tex] term.
[tex]\[ 7x^2 + 4x^2 - 4x \][/tex]
2. Add the coefficients of the like terms:
- Combine [tex]\(7x^2\)[/tex] and [tex]\(4x^2\)[/tex].
[tex]\[ (7 + 4)x^2 - 4x \][/tex]
[tex]\[ 11x^2 - 4x \][/tex]
3. Factor the simplified expression:
- Factor out the common term [tex]\(x\)[/tex] from each part of the expression.
[tex]\[ x(11x - 4) \][/tex]
Hence, the simplified version of the expression [tex]\(7x^2 - 4x + 4x^2\)[/tex] is:
[tex]\[ x(11x - 4) \][/tex]
