FACTORIES:-



16x² +25у²+ 9z²+4oxy – 24yz – 16xz


SOLVE PROPERLY, ACCURATELY….

1 thought on “FACTORIES:- <br /><br /><br /><br />16x² +25у²+ 9z²+4oxy – 24yz – 16xz<br /><br /><br />SOLVE PROPERLY, ACCURATELY….<br /><br />”

1. Step-by-step explanation:

   Given Question:–

   Factorise the expression

   16x^2 +25y^2+40xy-24yz-16xz

   Correct Question:

   Factorise the expression is

   16x^2 +25y^2+40xy-30yz-24xz

   Solution:–

   Given expression is

   16x^2 +25y^2+9z^2+40xy-30yz-24xz

   It can be written as

   =>(4x)^2 +(5y)^2+(-3z)^2+(2×4x×5y)+(2×5y×-3z)+(2×-3z×4x)

   =>It is the form of a^2+b^2+c^2+2ab+2bc+2ca

   Where,

   a= 4x

   b=5y

   c=-3z

   We know that

   (a+b+c)^2= a^2+b^2+c^2+2ab+2bc+2ca

   =>(4x)^2 +(5y)^2+(-3z)^2+(2×4x×5y)+(2×5y×-3z)+(2×-3z×4x)

   =>(4x+5y+(-3z))^2

   =>(4x+5y-3z)^2

   =>(4x+5y-3z)(4x+5y-3z)

   Answer:–

   The factorization of the given problem is

   (4x+5y-3z)(4x+5y-3z)

   Used formula:–

   • (a+b+c)^2= a^2+b^2+c^2+2ab+2bc+2ca

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