Question

$(5x² + 4x - 5) - (9x² + 1x - 11)$ write in standard form.

A) $-4x² + 3x + 6$
B) $4x² + 3x - 6$
C) $-4x² - 3x + 6$
D) $4x² - 3x - 6$

Answer 1

The given expression $(5x² + 4x - 5) - (9x² + 1x - 11)$ can be written in standard form as $-4x² + 3x + 6$. Option number a is correct.

Step-by-step explanation:

To write the given expression $(5x² + 4x - 5) - (9x² + 1x - 11)$ in standard form, we need to combine like terms and arrange the terms in decreasing order of the degree of the variable.

Let's combine the like terms.

$(5x² + 4x - 5) - (9x² + 1x - 11)$

$= 5x² + 4x - 5 - 9x² - 1x + 11$

$= (5x² - 9x²) + (4x - 1x) + (-5 + 11)$

$= -4x² + 3x + 6$

Therefore, the given expression $(5x² + 4x - 5) - (9x² + 1x - 11)$ written in standard form is Option A: $-4x² + 3x + 6$.