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The expression ( 8a^2 - 8 ) can be factored by taking out the common factor of 8. This gives us ( 8(a^2 - 1) ). The term ( a^2 - 1 ) is a difference of squares, which can be further factored into ( (a - 1)(a + 1) ). Therefore, the fully factored form is ( 8(a - 1)(a + 1) ).
To convert a polynomial from factored form to general form, you need to expand the factored expression by multiplying the factors together. For example, if you have a factored expression like ( (x - 2)(x + 3) ), you would use the distributive property (also known as the FOIL method for binomials) to multiply: ( x^2 + 3x - 2x - 6 ), which simplifies to ( x^2 + x - 6 ). Continue this process for any additional factors until the expression is fully expanded into its general form, which is typically written as a polynomial in standard form.
The expression (x^2 - 7x - 18) can be factored by finding two numbers that multiply to -18 and add to -7. These numbers are -9 and 2. Thus, the factored form of the expression is ((x - 9)(x + 2)).
The expression ( k^2 - 9h^2 ) is a difference of squares, which can be factored using the formula ( a^2 - b^2 = (a - b)(a + b) ). Here, ( a = k ) and ( b = 3h ). Thus, the factored form of the expression is ( (k - 3h)(k + 3h) ).
Factor out an X X(X^2 - 12X + 35) factor quadratic equation X(X - 7)(X - 5) ------------------- fully factored
The expression ( 8a^2 - 8 ) can be factored by taking out the common factor of 8. This gives us ( 8(a^2 - 1) ). The term ( a^2 - 1 ) is a difference of squares, which can be further factored into ( (a - 1)(a + 1) ). Therefore, the fully factored form is ( 8(a - 1)(a + 1) ).
To convert a polynomial from factored form to general form, you need to expand the factored expression by multiplying the factors together. For example, if you have a factored expression like ( (x - 2)(x + 3) ), you would use the distributive property (also known as the FOIL method for binomials) to multiply: ( x^2 + 3x - 2x - 6 ), which simplifies to ( x^2 + x - 6 ). Continue this process for any additional factors until the expression is fully expanded into its general form, which is typically written as a polynomial in standard form.
When there is no x term with a higher power than 1. Once all x-terms have a power of 1 or below, the expression has been fully factorised.
18x + 24 6(3x + 4) is factored fully
20
The GCF is 7. Factored fully, that's 7(x + 3)(x -3)
The expression (x^2 - 7x - 18) can be factored by finding two numbers that multiply to -18 and add to -7. These numbers are -9 and 2. Thus, the factored form of the expression is ((x - 9)(x + 2)).
The expression ( k^2 - 9h^2 ) is a difference of squares, which can be factored using the formula ( a^2 - b^2 = (a - b)(a + b) ). Here, ( a = k ) and ( b = 3h ). Thus, the factored form of the expression is ( (k - 3h)(k + 3h) ).
Fully Rely On God.
Factor out -2: -2(x squared +11x-20). This is fully factored.
Well, factorising fully is like finding the hidden treasures within a math problem. It means breaking down an expression into its simplest forms, like finding the roots of a beautiful flower. By factoring fully, you reveal all the factors that make up the original expression, allowing you to see its true beauty and simplicity. Just like adding colors to a painting, factorising fully helps us understand the expression better and appreciate its uniqueness.
There does not appear to be any one word which fully conveys the meaning 'skill in effective expression'. However, consider the following:fluent, fluency