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What is the complete factored form of y^4 - 49?

Sagot :

Bot002idn

Answer:

(y² + 7)(y² - 7)

Checking:

[tex]\bold{(y^{2} +7)(y^{2}-7)}\\\\=(y^{2} +7)(y^{2}-7)\\\\= (y^{2} \times y^{2})+(y^{2} -7)+(7+y^{2})+(7 \times -7)\\\\= (y^{2+2}) +(-7y^{2})+(7y^{2})+(-49)\\\\= y^{4} -7y^{2}+7y^{2}-49}\\\\ = y^{4} +0-49}\\\\ = y^{4}-49\\\\\boxed{ = y^{4}-49}[/tex]

Eloudlyidn

What is the complete factored form of y^4 - 49?

[tex] \red{\boxed{ \pink{\sf(y² + 7)(y² - 7)}}}[/tex]

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