What is the factored form of the expression? k2 – 9h2
Answer:
The factored form is(k+3h)(k-3h)
Step-by-step explanation:
The given expression is \(k^2-9h^2\)
Write this expression in difference of squares form
\((k)^2-(3h)^2\)
Use the difference of squares formula: \(a^2-b^2=(a+b)(a-b)\)
Here,
a = k
b = 3h
Thus, we have
\((k)^2-(3h)^2=(k+3h)(k-3h)\)
Therefore, the factored form is(k+3h)(k-3h)