Question

The algebraic expression

（3x^2-4x+7)-2（1-2x+x^2）
in standard form will be a binomial ax? + c.

Answer 1

The simplified standard form of the given algebraic expression is x² + 5, which is a binomial where a is 1 and c is 5.

Step-by-step explanation:

To rewrite the algebraic expression （3x²-4x+7）-2（1-2x+x²） in standard form, we first expand and simplify:

3x² - 4x + 7 - 2(1) + 4x - 2x² = 3x² - 2x² - 4x + 4x + 7 - 2

Now, combine like terms:

x² + 0 = x²

Finally, the constant terms 7 and -2 give:

7 - 2 = 5

Therefore, the expression in standard form is:

x² + 5