vesbaby1892 vesbaby1892
  • 22-04-2019
  • Mathematics
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Which product of factors is equivalent to x100–36?

(x10–6)(x10+6)

(x50–6)(x50+6)

(x50–18)(x50+18)

(x10–18)(x10+18)

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 02-05-2019

ANSWER

[tex]( {x}^{10} )^{2} - {6}^{2} = ({x}^{10} - {6}) ( {x}^{10} + {6})[/tex]

EXPLANATION

The given expression is:

[tex] {x}^{100} - 36[/tex]

We can rewrite this expression as:

[tex]( {x}^{10} )^{2} - {6}^{2} [/tex]

We have now written the expression as a difference of two squares:

Recall that:

[tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex]

This implies that,

[tex]( {x}^{10} )^{2} - {6}^{2} = ({x}^{10} - {6}) ( {x}^{10} + {6})[/tex]

Answer Link

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