Factor 4x6 – 16x2 using the difference of squares method

asked Mar 22, 2022 199k views

2 votes

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2 votes

Answer:

${ \tt{ {4x}^(6) - {16x}^(2) = {(2x {}^(3)) }^(2) - {(4x)}^(2) }} \\$

• from difference of squares:

${ \boxed{ \rm{( {a}^(2) - {b}^(2) ) = (a - b)(a + b)}}}$

• a → 2x³

• b → 4x

${ \underline{ \underline{ \tt{ = \: (2 {x}^(3) - 4x)(2 {x}^(3) + 4x) \: }}}}$

Matabares answered Mar 27, 2022

4.2k points

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