Simplify ( square root of 3h- square root of 2y)( square root of 3h+ square root of 2y)

Math
(3h-2y)(3h+2y)
Expand (3h-2y)(3h+2y) using the FOIL Method.
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Apply the distributive property.
3h(3h+2y)-2y(3h+2y)
Apply the distributive property.
3h3h+3h2y-2y(3h+2y)
Apply the distributive property.
3h3h+3h2y-2y3h-2y2y
3h3h+3h2y-2y3h-2y2y
Simplify terms.
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Combine the opposite terms in 3h3h+3h2y-2y3h-2y2y.
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Reorder the factors in the terms 3h2y and -2y3h.
3h3h+2y3h-2y3h-2y2y
Subtract 2y3h from 2y3h.
3h3h+0-2y2y
Add 3h3h and 0.
3h3h-2y2y
3h3h-2y2y
Simplify each term.
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Multiply 3h3h.
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Raise 3h to the power of 1.
3h13h-2y2y
Raise 3h to the power of 1.
3h13h1-2y2y
Use the power rule aman=am+n to combine exponents.
3h1+1-2y2y
Add 1 and 1.
3h2-2y2y
3h2-2y2y
Rewrite 3h2 as 3h.
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Use axn=axn to rewrite 3h as (3h)12.
((3h)12)2-2y2y
Apply the power rule and multiply exponents, (am)n=amn.
(3h)12⋅2-2y2y
Combine 12 and 2.
(3h)22-2y2y
Cancel the common factor of 2.
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Cancel the common factor.
(3h)22-2y2y
Divide 1 by 1.
(3h)1-2y2y
(3h)1-2y2y
Simplify.
3h-2y2y
3h-2y2y
Multiply -2y2y.
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Raise 2y to the power of 1.
3h-(2y12y)
Raise 2y to the power of 1.
3h-(2y12y1)
Use the power rule aman=am+n to combine exponents.
3h-2y1+1
Add 1 and 1.
3h-2y2
3h-2y2
Rewrite 2y2 as 2y.
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Use axn=axn to rewrite 2y as (2y)12.
3h-((2y)12)2
Apply the power rule and multiply exponents, (am)n=amn.
3h-(2y)12⋅2
Combine 12 and 2.
3h-(2y)22
Cancel the common factor of 2.
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Cancel the common factor.
3h-(2y)22
Divide 1 by 1.
3h-(2y)1
3h-(2y)1
Simplify.
3h-(2y)
3h-(2y)
Multiply 2 by -1.
3h-2y
3h-2y
3h-2y
Simplify ( square root of 3h- square root of 2y)( square root of 3h+ square root of 2y)

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