Factorise the following expression by finding a common factor:14𝑥2+21𝑥$$

Sure, let's factorise the expression 14x^2 + 21x by finding a common factor.

Step 1: Identify the common factor The common factor in both terms is 7x.

Step 2: Factor out the common factor When we factor out 7x from each term, we get:

7x(2x) + 7x(3)

Step 3: Simplify the expression This simplifies to:

7x(2x + 3)

So, the factorised form of the expression 14x^2 + 21x is 7x(2x + 3).