1.

If m+n=5 and mn=6 then find (m²+n²)(m³+n³)​

Answer»

(m+n)²=m²+n²+2mn

m²+n²= (m+n)²-2mn

=5² - 2(6)

= 25 - 12

m²+n²= 13

(m+n)³=m³+n³+3mn(m+n)

m³+n³= (m+n)³-3mn(m+n)

= 5³-3(6)(5)

= 125 - 90

m³+n³= 35

(m²+n²)(m³+n³) = 13×35

=455

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