Question

(i) (x + 2) (x + 3) (x + 5)​

Answer 1

Answer:

The answer is -

=  $x^{3}$ +  10$x^{2}$ + 31$x$ + 30

Step-by-step explanation:

To simplify (x + 2)(x + 3)(x + 5)

Follow simple and basic laws of multiplication

= (x + 2)(x + 3)(x + 5)

= ($x$ X $x$ + $x$ X 3 + 2 X $x$ + 2 X 3 [Using distributive property of multiplication])(x + 5)

= ($x^{2}$ + 3x + 2x + 6)(x + 5)

Now, add the like terms

= ($x^{2}$ + 3x + 2x + 6)(x + 5)

= ($x^{2}$ + 5x + 6)(x + 5)

So,

= $x^{2}$ X x + $x^{2}$ X 5 + 5x X x + 5x X 5 + 6 X x + 6 X 5 [Using distributive property of multiplication]

= $x^{3}$ +  5$x^{2}$ + 5$x^{2}$ + 25x + 6x + 30

Now again, add the like terms

=  $x^{3}$ +  5$x^{2}$ + 5$x^{2}$ + 25x + 6x + 30

=  $x^{3}$ +  10$x^{2}$ + 31$x$ + 30

BE SAFE