Answer :

Let's factorize the given expressions step-by-step.

  1. Factorizing the expression 19x^5 - 38x^3:

    We start by identifying the greatest common factor (GCF) of the terms. Here, the GCF is 19x^3.

    Let's factor out the GCF:

    [tex]19x^5 - 38x^3 = 19x^3(x^2 - 2).[/tex]

    Therefore, the factorized form is [tex]19x^3(x^2 - 2)[/tex].

  2. Factorizing the expression (x-1)^2 - 3(x-1):

    Notice that [tex](x - 1)[/tex] is a common factor in both terms.

    Let's factor [tex](x - 1)[/tex] out:

    [tex](x-1)^2 - 3(x-1) = (x-1)((x-1) - 3).[/tex]

    Simplify inside the parentheses:

    [tex](x-1)((x-1) - 3) = (x-1)(x-1 - 3)
    = (x-1)(x-4).[/tex]

    Therefore, the factorized form is [tex](x-1)(x-4)[/tex].

  3. Factorizing the expression 3:

    The number 3 is a constant and cannot be factorized further with variables or other expressions.

    The factorized form of a constant like 3 remains the same: [tex]3[/tex].

Other Questions