a+b=四分之七,ab=四分之三,求(1)二分之一a的三次方乘b+二分之一a乘b的三次方(2)a的平方+b的平方的值
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(1)二分之一a的三次方乘b+二分之一a乘b的三次方.
=1/2a³b+1/2ab³
=1/2ab(a²+b²)
=1/2ab(a²+b²+2ab-2ab)
=1/2ab[(a+b)²-2ab]
=1/2×3/4[(7/4)²-2×3/4)
=3/8×(49/16-3/2)
=3/8×(49-24)/16
=3/8×25/16
=75/128
(2)a的平方+b的平方的值
=a²+b²
=(a+b)²-2ab
=(7/4)²-2×3/4)
=(49/16-3/2)
=(49-24)/16
=25/16
=1/2a³b+1/2ab³
=1/2ab(a²+b²)
=1/2ab(a²+b²+2ab-2ab)
=1/2ab[(a+b)²-2ab]
=1/2×3/4[(7/4)²-2×3/4)
=3/8×(49/16-3/2)
=3/8×(49-24)/16
=3/8×25/16
=75/128
(2)a的平方+b的平方的值
=a²+b²
=(a+b)²-2ab
=(7/4)²-2×3/4)
=(49/16-3/2)
=(49-24)/16
=25/16
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