Question

Simplify the following expression.(3x– 5)(4 – 9x)+ (2x + 1)(6x^2 + 5)1223 + 21.12 + 67 + 1512.03 + 21.12 -67 + 1512.1321.12 + 671 – 1512.321,2 – 67 – 15Submit

Answer 1

As given by the question

There are given that the expression

$(3x-5)(4-9x)+(2x+1)(6x^2+5)$

Now,

simplify the above-given expression

So,

$\begin{gathered} (3x-5)(4-9x)+(2x+1)(6x^2+5)=\lbrack(3x)(4)-(3x)(9x)-20+45x\rbrack \\ +\lbrack12x^3+10x+6x^2+5\rbrack \\ =12x-27x^2-20+45x+12x^3+10x+6x^2+5 \end{gathered}$

Then,

$12x-27x^2-20+45x+12x^3+10x+6x^2+5=12x^3-21x^2+67x-15$

The value of simplification of the given expression is shown below:

$12x^3-21x^2+67x-15$

Hence, the correct option is C