1. Simplify (7m-8n) ² + (7m+8n) ². Write the identities also
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(a-b)^2 = a^2+b^2-2ab
(7m)^2+(8n)^2-(2×7m×8n)
49m^2+64n^2-112mn
(a+b)^2 = a^2+b^2+2ab
(7m)^2+(8n)^2+(2×7m×8n)
49m^2+64n^2+112
(7m-8n) ² + (7m+8n) ²
inserting the values and grouping the like terms
49m^2+49m^2+64n^2+64n^2-112+112
-112 and +112 get cancel due to different sings
98m^2+128n^2
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