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Question

Factrorise
25x2+4y2+9z220xy12yz+30xz


Solution

25x2+4y2+9z220xy12yz+30xzUsing identity, (a+b+c)2=a2+b2+c2+2ab+2bc+2ca25x2+4y2+9z220xy12yz+30xz=(5x)2+(2y)2+(3z)2+2×(5x)(2y)+2×2y×(3z)+2×(3z)(5x)=(5x+2y3z)2=(5x+2y3z)(5x+2y3z)

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