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Answer:
1. (x+y+z)²+(x+y-z)²= 2x²+2y²+2z²+4xy
2. 196
3. 15616
Step-by-step explanation:
1. (x+y+z)²+(x+y-z)²
= x²+y²+z²+2(xy+yz+zx)+ x²+y²+z²+2xy-2yz-2zx)
= x²+y²+z²+2xy+2yz+2zx + x²+y²+z²+2xy-2yz-2zx)
= 2x²+2y²+2z²+4xy
2. 4x²+9y²
= (2x)²+(3y)²-12xy+12xy
= (2x-3y)²+12xy
= (10)2+12×8
=100+96
=196
3. 64x³-125z³
= (4x)³-(5z)³
=(4x)³-(5z)³-3.4x.5z(4x-5z)+3.4x.5z(4x-5z)
= (4x-5z)³+3.4x.5z(4x-5z)
= (16)³+60xz(16)
= 4096+60×12×16
= 4096+11520
= 15616
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