Factor completely x3y6 – 64

x 3 y 6 − 64

is the difference of two cubes and can be factored in the following pattern.

a 3 − b 3 = ( a − b ) ( a 2 + a b + b 2 )

a 3

factors to a

b 3

factors to b

The pattern of the signs follows the acronym SOAP

S = same sign as the cubes

O = opposite sins of the cubes

AP = always positive

x 3 y 3

factors to xy

64

factors to 4

x 3 y 3 − 64 = ( x y − 4 ) ( x 2 y 2 + 4 x y + 16 )

Step-by-step explanation:

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step-by-step explanation:

the homeowners insurance cost for a 115,000 wood frame house is 80,500.

step-by-step explanation:

it is given that the coverage rate for wood frame house is 0.7.

the value of wood frame house is 115,000.

.

homeowners insurance cost for a 115,000 wood frame house is

therefore the homeowners insurance cost for a 115,000 wood frame house is 80,500.