The given expression is 0.81p^2 - 0.09.

Step 1: Recognize that both terms are perfect squares. 0.81 is the square of 0.9 and 0.09 is the square of 0.3.

Step 2: Write the expression as a difference of squares. The difference of squares formula is a^2 - b^2 = (a - b)(a + b).

Step 3: Apply the formula to the given expression. Here, a is √0.81p^2 = 0.9p and b is √0.09 = 0.3.

So, the factored form of the expression 0.81p^2 - 0.09 is (0.9p - 0.3)(0.9p + 0.3).

Question

The given expression is 0.81p^2 - 0.09.

Step 1: Recognize that both terms are perfect squares. 0.81 is the square of 0.9 and 0.09 is the square of 0.3.

Step 2: Write the expression as a difference of squares. The difference of squares formula is a^2 - b^2 = (a - b)(a + b).

Step 3: Apply the formula to the given expression. Here, a is √0.81p^2 = 0.9p and b is √0.09 = 0.3.

So, the factored form of the expression 0.81p^2 - 0.09 is (0.9p - 0.3)(0.9p + 0.3).

Knowee AI · Accepted Answer

The given expression is 0.81p^2 - 0.09.

Step 1: Recognize that both terms are perfect squares. 0.81 is the square of 0.9 and 0.09 is the square of 0.3.

Step 2: Write the expression as a difference of squares. The difference of squares formula is a^2 - b^2 = (a - b)(a + b).

Step 3: Apply the formula to the given expression. Here, a is √0.81p^2 = 0.9p and b is √0.09 = 0.3.

So, the factored form of the expression 0.81p^2 - 0.09 is (0.9p - 0.3)(0.9p + 0.3).

Which is a factored form of 0.81p2 – 0.09?