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What is the expression in factored form? please show steps on how to get both answers!

1. x2+13x +42

2. 9x^2−4

^ means its number beside is the exponent.

1. The factored form of the given expression is (x+7)(x+6).

2. What is the expression in factored form . 9x^2 -4

Step-by-step explanation:

1.  The given expression is,

The degree of the expression is 2, the constant term is 42, and the coefficient of x is 13.

Use factoring by grouping method

To find the factor form, we have to find two numbers whose sum is 13 and whose product is 42.

The factors of 42 are,

From which the sum of 6 and 7 is 13.

So We can write the 13x as 7x+6x.

2. This expression can be factorized using the difference of squares which can be illustrated as follows:

A^2 - B^2 = (A+B)(A-B)

In the given example:

sqrt(9x^2) = 3x

sqrt(4) = 2

and the two squares are separated by a negative sign

Therefore, the difference of squares is applicable

Based on this, factoring the given expression would give us:

9x^2 - 4 = (3x+2)(3x-2)