Mathematics, 16.06.2020 03:57 alemvp8219
Factor the expression
36a^4 b^10-81a^16b^20 using the two different techniques listed for Parts 1(a) and 1(b).
(a) Factor the given expression using the GCF monomial.
(b) Factor the given expression using the difference of squares
Answers: 1
is 
![36a^4b^{10}-81a^{16}b^{20}=9a^{4}b^{10}\left ( 4-9a^{12}b^{10} \right )\\=9a^{4}b^{10}\left [ 2^2-\left ( 3a^6b^5 \right )^2 \right ]\\=9a^{4}b^{10}\left ( 2-3a^6b^5 \right )\left ( 2+3a^6b^5 \right )\,\,\left \{ \because x^2-y^2=(x+y)(x-y) \right \}](/tpl/images/0686/6642/a8216.png)
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Factor the expression
36a^4 b^10-81a^16b^20 using the two different techniques listed for Parts 1(a...
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