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Factor completely x2 − 36. (x 6)(x − 6) (x 6)(x 6) (x − 6)(x − 6) Prime.

Sagot :

Thus reduced form of the given expression, using identity [tex]a^{2} -b^{2} = (a+b) (a-b)[/tex] is [tex](x+6) (x-6)[/tex].

Given expression is

[tex]x^{2} -36[/tex]

[tex]x^{2} -6^2[/tex]

What is a reduced form of the expression [tex]a^{2} -b^{2}[/tex] ?

it is [tex](a+b) (a-b)[/tex]

In the same way, we can reduce [tex]x^{2} -6^2[/tex] .

[tex]x^{2} -36 = (x+6) (x-6)[/tex]

Thus reduced form of the given expression is

[tex](x+6) (x-6)[/tex]

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