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Simplify: x(2x−5)+6(x2−4)+18x(2 x-5)+6\left(x^2-4\right)+18x(2x−5)+6(x2−4)+18 
Question

Simplify: x(2x5)+6(x24)+18x(2 x-5)+6\left(x^2-4\right)+18 

A.

8x2+5x+68x^2+5x+6

B.

8x2+5x68x^2+5x-6

C.

8x25x+68x^2-5x+6

D.

8x25x68x^2-5x-6

Correct option is D

Given:

x(2x5)+6(x24)+18x(2 x-5)+6\left(x^2-4\right)+18

Solution:

=>x(2x5)+6(x24)+18=>2x25x+6x224+18=>8x25x6\begin{aligned}& \Rightarrow x(2 x-5)+6\left(x^2-4\right)+18 \\& \Rightarrow 2 x^2-5 x+6 x^2-24+18 \\& \Rightarrow 8 x^2-5 x-6\end{aligned}

Thus, the correct answer is (d).

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