Simplify 264.96*(0.577-0.0924/b)*(1+0.2592/b)

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264.96⋅(0.577-0.0924b)⋅(1+0.2592b)
Apply the distributive property.
(264.96⋅0.577+264.96(-0.0924b))⋅(1+0.2592b)
Multiply 264.96 by 0.577.
(152.88192+264.96(-0.0924b))⋅(1+0.2592b)
Multiply 264.96(-0.0924b).
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Multiply -1 by 264.96.
(152.88192-264.960.0924b)⋅(1+0.2592b)
Combine -264.96 and 0.0924b.
(152.88192+-264.96⋅0.0924b)⋅(1+0.2592b)
Multiply -264.96 by 0.0924.
(152.88192+-24.482304b)⋅(1+0.2592b)
(152.88192+-24.482304b)⋅(1+0.2592b)
Move the negative in front of the fraction.
(152.88192-24.482304b)⋅(1+0.2592b)
Expand (152.88192-24.482304b)(1+0.2592b) using the FOIL Method.
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Apply the distributive property.
152.88192(1+0.2592b)-24.482304b(1+0.2592b)
Apply the distributive property.
152.88192⋅1+152.881920.2592b-24.482304b(1+0.2592b)
Apply the distributive property.
152.88192⋅1+152.881920.2592b-24.482304b⋅1-24.482304b⋅0.2592b
152.88192⋅1+152.881920.2592b-24.482304b⋅1-24.482304b⋅0.2592b
Simplify and combine like terms.
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Simplify each term.
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Multiply 152.88192 by 1.
152.88192+152.881920.2592b-24.482304b⋅1-24.482304b⋅0.2592b
Multiply 152.881920.2592b.
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Combine 152.88192 and 0.2592b.
152.88192+152.88192⋅0.2592b-24.482304b⋅1-24.482304b⋅0.2592b
Multiply 152.88192 by 0.2592.
152.88192+39.62699366b-24.482304b⋅1-24.482304b⋅0.2592b
152.88192+39.62699366b-24.482304b⋅1-24.482304b⋅0.2592b
Multiply -1 by 1.
152.88192+39.62699366b-24.482304b-24.482304b⋅0.2592b
Multiply -24.482304b⋅0.2592b.
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Multiply 0.2592b and 24.482304b.
152.88192+39.62699366b-24.482304b-0.2592⋅24.482304b⋅b
Multiply 0.2592 by 24.482304.
152.88192+39.62699366b-24.482304b-6.34581319b⋅b
Raise b to the power of 1.
152.88192+39.62699366b-24.482304b-6.34581319b1b
Raise b to the power of 1.
152.88192+39.62699366b-24.482304b-6.34581319b1b1
Use the power rule aman=am+n to combine exponents.
152.88192+39.62699366b-24.482304b-6.34581319b1+1
Add 1 and 1.
152.88192+39.62699366b-24.482304b-6.34581319b2
152.88192+39.62699366b-24.482304b-6.34581319b2
152.88192+39.62699366b-24.482304b-6.34581319b2
Combine the numerators over the common denominator.
152.88192+39.62699366-24.482304b-6.34581319b2
152.88192+39.62699366-24.482304b-6.34581319b2
Subtract 24.482304 from 39.62699366.
152.88192+15.14468966b-6.34581319b2
Simplify 264.96*(0.577-0.0924/b)*(1+0.2592/b)

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