Question

X2 +6x+9 с формулой a2-b2=(a-b)(a+b)

Answer 1

${x}^{2} + 6x + 9 = ( {x}^{2} + {3}^{2} )$

Answer 2

To factor the expression x^2 + 6x + 9, we can use the formula a^2 - b^2 = (a - b)(a + b) where a = x and b = 3 (half of the coefficient of x, which is 6/2 = 3).

Now, let's apply the formula:

x^2 + 6x + 9 = x^2 + 2 * 3 * x + 3^2

This expression is now in the form of a^2 + 2ab + b^2, where a = x and b = 3. We can now apply the formula:

x^2 + 2 * 3 * x + 3^2 = (x + 3)^2

So, the factored form of the expression x^2 + 6x + 9 is (x + 3)^2.