using suitable identity expand
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killerboy27:
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iii) (-2x+3y+2z)²
Using : (x+y+z)² = x² + y² + z² + 2xy + 2yz + 2xz
Here,
x = (-2x) , y = 3y , z = 2z
(-2x+3y+2z)² = (-2x)² + (3y)² + (2z)² + 2*(-2x)*3y + 2*3y*2z + 2*(-2x)*2z
= 4x² + 9y² + 4z² - 12xy + 12yz - 8xz
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Using : (x+y+z)² = x² + y² + z² + 2xy + 2yz + 2xz
Here,
x = (-2x) , y = 3y , z = 2z
(-2x+3y+2z)² = (-2x)² + (3y)² + (2z)² + 2*(-2x)*3y + 2*3y*2z + 2*(-2x)*2z
= 4x² + 9y² + 4z² - 12xy + 12yz - 8xz
➖➖➖➖➖➖➖➖➖➖➖
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