Question

Can all expression be factored using difference of two squares?why or why not?

Answer 1

Answer:

no

Step-by-step explanation:

factor x^2 + 8x + 92

Answer 2

Answer:

Using this technique, not all expressions can be factored.

Step-by-step explanation:

A squared number is subtracted from another squared number to produce the identity of the difference of two squares, which is factorised as $a^{2}$ − $b^{2}$ $= ( a + b ) ( a - b )$

The rationalisation of irrational denominators can also be done using the difference of two squares. Applying to division by some combinations involving square roots, this technique removes or at least moves surds from expressions.

If two perfect squares may be used to represent a phrase, Consequently, if $a^{2} - b^{2}$is true, we can factor it as $(a+b) (a-b)$.  For example, $x^{2}- 25$can be factored as (x+5)(x-5). This method is based on the pattern $(a+b)(a-b)=a^{2} - b^{2}$, which can be verified by expanding the parentheses in $(a+b)(a-b)$.

To learn more about Square root here:

https://brainly.in/question/54127879

To learn more about Difference of Two squares here:

https://brainly.in/textbook-solutions/q-write-true-t-false-f-following-statements-28

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