Expand : (i) (3x – 4y + 5z)^2
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Answered by
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(3x-4y+5z)^2
= {3x+(-4y)+5z}^2
=(3x)^2+(-4y)^2+(5z)^2+2×3x×(-4y)+2×(-4y)+5z+ 2×5z×3x
=9x^2+16y^2+25z^2+(-24xy)+(-40yz)+30xz
=9x^2+16y^2+25z^2-24xy-40yz+30xz
Answered by
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Answer: 9x^2+16y^2+25z^2-24xy-40yz+30xz
Step-by-step explanation:
(3x-4y+5z)^2
= {3x+(-4y)+5z}^2
=(3x)^2+(-4y)^2+(5z)^2+2×3x×(-4y)+2×(-4y)+5z+ 2×5z×3x
=9x^2+16y^2+25z^2+(-24xy)+(-40yz)+30xz
=9x^2+16y^2+25z^2-24xy-40yz+30xz
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