Expand: (-3x+ 5y +2z)^2
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Answer:
9x² + 25y² + 4z² - 30xy + 20yz - 12xz
Step-by-step explanation:
( - 3x + 5y + 2z )²
Formula : -
( a + b + c )² = a² + b² + c² + 2 ( ab + bc + ca )
Here,
a = - 3x
b = 5y
c = 2z
ab = - 3x ( 5y )
ab = - 15xy
bc = 5y ( 2z )
bc = 10yz
ca = - 3x ( 2z )
ca = - 6xz
( - 3x + 5y + 2z )²
= ( - 3x )² + ( 5y )² + ( 2z )² + 2 ( - 15xy + 10yz - 6xz )
= 9x² + 25y² + 4z² + ( - 30xy ) + 20yz + ( - 12xz )
= 9x² + 25y² + 4z² - 30xy + 20yz - 12xz
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