Question

Find the product (5-2x) (3+x)
A. (5-2x) (3+x) = (3+x)-2x(3-x)
B. (5-2x) (3+x) = (3+x)-2x(3+x)
C. (5-2x) (3-x) = 5(3+x)-2x(3+x)
D. (5-2x) (3+x) = 5(3+x)-2x(3+x)

Answer 1

Hint: In these types of questions multiply the variables inside the braces and form an equation. Split by middle term to get the correct option.
Complete Step-by-Step solution:
First we need to simplify the equation (5-2x) (3+x)
On solving, we get
15+5x-6x-2x2
So, by taking 5 common from 15 and 5, we get
 5(3+x)-6x-2x2
Again, by taking 2 common from -6x-2x2 we get,
5(3+x)-2x(3+x)
Hence option D. is correct.
Note: These types of questions are easy as long as you remember the basic concepts and pay attention to the steps. Try to mould your answer in the direction of one of the options and you simplify the solution to the most simplified form.