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  • 26-09-2021
  • Mathematics
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Factor 4x6 – 16x2 using the difference of squares method

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Аноним Аноним
  • 26-09-2021

Answer:

[tex]{ \tt{ {4x}^{6} - {16x}^{2} = {(2x {}^{3}) }^{2} - {(4x)}^{2} }} \\ [/tex]

• from difference of squares:

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

• a → 2x³

• b → 4x

[tex]{ \underline{ \underline{ \tt{ = \: (2 {x}^{3} - 4x)(2 {x}^{3} + 4x) \: }}}}[/tex]

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