How do you combine like terms in #(8x^2+7c-5)-(3x^2-4x)-(-6x^3-5x^2+3)#?

Answer 1

#6x^3+10x^2+4x+7c-8#

The signs inside the brackets change when the brackets are removed, so proceed with caution.

#8x^2+7c-5-3x^2+4x+6x^3+5x^2-3#

Find any similar terms now; you may want to simplify the expression first, then rearrange it.

=#color(magenta)(6x^3)color(blue)(+8x^2+5x^2-3x^2)color(lime)(+4x)color(red)(+7c)color(orange)(-5-3)#
=#color(magenta)(6x^3)color(blue)(+10x^2)color(lime)(+4x)color(red)(+7c)color(orange)(-8)#
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Answer 2

To combine like terms in the expression (8x^2+7c-5)-(3x^2-4x)-(-6x^3-5x^2+3), first remove the parentheses and distribute the negative sign. Then, combine like terms by adding or subtracting coefficients of the same variables:

(8x^2 + 7c - 5) - (3x^2 - 4x) - (-6x^3 - 5x^2 + 3) = 8x^2 + 7c - 5 - 3x^2 + 4x + 6x^3 + 5x^2 - 3 = (8x^2 - 3x^2 + 5x^2) + 7c + 4x + 6x^3 - 5 - 3 = 10x^2 + 7c + 4x + 6x^3 - 5 - 3 = 6x^3 + 10x^2 + 4x + 7c - 8

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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.

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.

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.

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.

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