Question

expand using identity (-2x+5y-3z)2

Answer 1

(a+b+c)²=a²+b²+c²+2(ab+bc+ca)
(-2x+5y-3z)²=4x²+25y²+9z²+2(-10xy-15yz+6xz)

Answer 2

( -2x + 5y - 3z)²

= ( -2x + 5y - 3z)( -2x + 5y - 3z)

= (-2x)(-2x) + (-2x)(5y) + (-2x)(-3z) + (5y)(-2z) + (5y)(5y) + (5y)(-3z) + (-3z)(-2x) + (-3z)(5y) + (-3z)(-3z)

= 4x² - 10xy + 6xz + 25y² - 15yz + 6xz - 15yz + 9z²

= 4x² - 10xy + 12xz + 25y² - 30yz + 9z²

Answer: 4x² - 10xy + 12xz + 25y² - 30yz + 9z²