Math, asked by mridulmottan74, 5 months ago

16x^2-24yz-9y^2-16z^2​

Answers

Answered by BrettRivera
2

Answer:

Step-by-step explanation:

16x^2 -24yz-9y^2-16z^2 = (4x)^2 -24yz-(3y)^2-(4z)^2

           = -{(3y)^2+24yz+4z^2} + 4x^2

           = -(3y+4z)^2 + 4x^2    [using a^2+2ab+b^2 = (a+b)^2]

             = (4x)^2 -(3y+4z)^2

             = (4x+3y+4z) (4x-3y-4z)  [using a^2 - b^2 = (a+b)(a-b) where a=4x  &   b=3y+4z]

Answered by deekshitha2020
0

Answer:

(4x+3y+4z) (4x-3y-4z)

Step-by-step explanation:

16x^2-24yz-9y^2-16z^2

(4x)^2-{9y^2+24yz+16z^2

(4x)^2-{3y+4z}^2 a^2+2ab+b^2=(a+b)^2

a^2-b^2 =(a+b) (a-b)

(4x+3y+4z)(4x-3y-4z)

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