To factor the expression \( k^2 - 16h^2 \), we recognize it as a difference of squares. The difference of squares can be factored using the formula:
\[ a^2 - b^2 = (a + b)(a - b) \]
In the given expression, we have:
\[ k^2 - 16h^2 \]
Here, \( a = k \) and \( b = 4h \), so we can rewrite the expression as:
\[ k^2 - (4h)^2 \]
Using the difference of squares formula, we factor it as:
\[ (k + 4h)(k - 4h) \]
So the correct factorization of \(k^2 - 16h^2\) is:
\[ (k + 4h)(k - 4h) \]
Therefore, the correct option is:
\[ (k + 4h)(k – 4h) \]
6.
Factor the expression.
k2 – 16h2
(k + 4h)(k – 4h)
(k + 4h)(k + 4h)
(k – 4h2)(k + 4)
h2(k + 4)(k – 4)
1 answer