Mathematics: 8- 3 3/4 with work ty

Given:Expression isTo find:The simplified form of the given expression.Solution:We have,Using and , we getOn combining like term, we getTherefore, the correct option is c....

8- 3 3/4 with work ty - id83348716055, Legojackson78

Ответ:

averyboy2015p9yqkn

14.01.2020

Mathematics

Given:

Expression is

(3x+4)^2-(x-10)^2

To find:

The simplified form of the given expression.

Solution:

We have,

(3x+4)^2-(x-10)^2

Using (a+b)^2=a^2+2ab+b^2 and (a-b)^2=a^2-2ab+b^2 , we get

=(3x)^2+2(3x)(4)+(4)^2-[(x)^2-2(x)(10)+(10)^2]

=9x^2+24x+16-[x^2-20x+100]

=9x^2+24x+16-x^2+20x-100

On combining like term, we get

=(9x^2-x^2)+(24x+20x)+(16-100)

=8x^2+44x+(-84)

=8x^2+44x-84

Therefore, the correct option is c.

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8- 3 3/4 with work ty

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