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Elodia [21]
3 years ago
15

Simplifying Expressions

Mathematics
1 answer:
True [87]3 years ago
6 0

Answer:

As

\left(x^3+2x^2+5\right)-\left(8x^2-4x+6\right)=x^3-6x^2+4x-1

Therefore, option D is the correct answer is.

Step-by-step explanation:

Given the expression

\left(x^3+2x^2+5\right)\:-\:\left(8x^2\:-\:4x\:+\:6\right)

solving to simplify the expression

\left(x^3+2x^2+5\right)\:-\:\left(8x^2\:-\:4x\:+\:6\right)

=x^3+2x^2+5-\left(8x^2-4x+6\right)        ∵  \mathrm{Remove\:parentheses}:\quad \left(a\right)=a

=x^3+2x^2+5-\left(8x^2-4x+6\right)

=x^3+2x^2+5-8x^2+4x-6

Group like terms

=x^3+2x^2-8x^2+4x+5-6

\mathrm{Add\:similar\:elements:}\:2x^2-8x^2=-6x^2

=x^3-6x^2+4x+5-6

\mathrm{Add/Subtract\:the\:numbers:}\:5-6=-1

=x^3-6x^2+4x-1

Therefore, the simplified form of the expression is

\left(x^3+2x^2+5\right)-\left(8x^2-4x+6\right)=x^3-6x^2+4x-1

Therefore, option D is the correct answer is.

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