Question

16x⁴-81y⁴, Factorize the given equation.

Answer 1

hello mate!.....

▪ given......

16x^4-81y^4

(2x)^4 - (3y)^4

we know.....

(x+y) (x-y) = (x^2 -y^2)


[ (2x)^2+(3y)^2 ] [(2x)^2 -(3y)^2 ]

(4x^2+9y^2) (2x+3y) (2x-3y)

hope it helps u dear....

Answer 2

Answer:

(4x²+9y²)(2x+3y)(2x-3y)

Step-by-step explanation:

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We know the algebraic identity:

a² - b² = ( a + b )( a - b )

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16x⁴ - 81y⁴

= ( 4x² )² - ( 9y² )²

= ( 4x² + 9y² )( 4x² - 9y² )

= (4x² + 9y²)[ (2x)² - (3y)² ]

= (4x²+9y²)(2x+3y)(2x-3y)

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