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How do you find the product #(7z^2+5y^2)(7z^2-5y^2)#?

1 Answer

Jan 15, 2017

#49z^4 - 25y^4#

Explanation:

#(a+b)(a-b) = a^2 - b^2#

In this case, #a = 7z^2# and #b=5y^2#

#a^2 = 7^2 * (z^2)^2 = 49z^4#

#b^2 = 5^2 * (y^2)^2 = 25y^4#

#a^2 - b^2 = 49z^4 - 25y^4#

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