Math, asked by contactsaimhasan, 9 months ago

factorize: 4x²+9y²+16z²+12xy-24yz-16xz

Answers

Answered by ʙᴇᴀᴜᴛʏᴀɴɢᴇʟ
16

Step-by-step explanation:

Solution:

4x²+9y²+16z²+12xy -24yz -16xz

= (2x)²+(3y)²+(4z)²+2(2)(3)xy -2(3)(4)yz -2(2x)(4z)

= (2x + 3y - 4z)(2x + 3y - 4z)

Answered by pulakmath007
13

Answer:

4x²+9y²+16z²+12xy-24yz-16xz

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

Using the identity (a+b+c)² = a²+b²+c² +2ab+2bc+2ca

= ( 2x + 3y - 4z

=( 2x + 3y - 4z ) ( 2x + 3y - 4z )

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