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How do you combine #(6x^2 + x + 4) - (x^2 - x + 9)#?

Answer 1

Isaiah Anthony

#(6x^2 + x + 4) - (x^2 - x + 9)#

#6x^2 + x + 4- color(red)(x^2) + color(blue)( x) -color(green)( 9#

We can Group Like Terms to combine the expressions

# (6x^2 - color(red)(x^2)) + (x + color(blue)( x)) +(4-color(green)( 9))#

# = 5x^2 + 2x -5#

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Answer 2

Julia Adams

To combine the expressions (6x^2 + x + 4) and (-(x^2 - x + 9)), you simply subtract the second expression from the first one. This means you distribute the negative sign across each term inside the parentheses of the second expression and then combine like terms. So, (6x^2 + x + 4) - (x^2 - x + 9) becomes 6x^2 + x + 4 - x^2 + x - 9, which simplifies to 5x^2 + 2x - 5.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.