Question

Factorise (y^4 - 8y^2 + 16)
Please solve.
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Answer 1

Step-by-step explanation:

${y}^{4} - 8 {y}^{2} + 16$

$= {y}^{4} - 4 {y}^{2} - 4 {y}^{2} + 16$

$= {y}^{2} ( {y}^{2} - 4) - 4( {y}^{2} - 4)$

$= {( {y}^{2} - 4)}^{2}$

$= { {(y}^{2} - {2}^{2}) }^{2}$

$= {(y + 2)}^{2} {(y - 2)}^{2}$

Answer 2

Answer:

y⁴-8y²+16

• y⁴-4y²-4y²+16
• y²(y²-4) -4( y²-4)
• (y²-4) (y²-4)
• (y²-4)²

Step-by-step explanation:

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