Question

Factorize x^2(x+6)+3x(x+9)+152

Answer 1

Answer:

x³+9x²+27x+152

Step-by-step explanation:

x²(x+6)+3x(x+9)+152

= x³+6x²+3x²+27x+152

= x³+9x²+27x+152

Hope this will help you...

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Answer 2

Answer:

x^3+9x^2+27x+152

Step-by-step explanation:

x^2(x+6)+3x(x+9)+152

step 1 = x^3+6x^2+3x(x+9)+152

step 2 = x^3+6x^2+3x^2+27x+152

step 3 = x^3+9x^2+27x+152

In step 1 the first bracket is multiplied by x^2 so it becomes x^2*x+x^2*6

                                                                                                 =x^3+6x^2

In step 2 the second bracket is multiplied by 3x so it becomes 3x*x+3x*9

                                                                                                       =3x^2+27x

In step 2 we can see there are two like terms 6x^2 and 3x^2 so, the like terms are added and the answer is in step 3.

Hope this helps you...