Answer:
1. (2m−n)^2
= (2m−n)(2m−n)
=(2m)(2m)+(2m)(−n)+(−n)(2m)+(−n)(−n)
=4m^2−2mn−2mn+n^2
=4m^2−4mn+n^2
2. (3x+6)^2
= (3x+6)(3x+6)
= (3x)(3x)+(3x)(6)+(6)(3x)+(6)(6)
= 9x^2+18x+18x+36
= 9x^2+36x+36
3.
4. (8m+2)^2
= (8m+2)(8m+2)
= (8m)(8m)+(8m)(2)+(2)(8m)+(2)(2)
= 64m^2+16m+16m+4
= 64m^2+32m+4
5. (2x−5+7)^2
=(2x+−5+7)(2x+−5+7)
=(2x)(2x)+(2x)(−5)+(2x)(7)+(−5)(2x)+(−5)(−5)+(−5)(7)+(7)(2x)+(7)(−5)+(7)(7)
=4x^2−10x+14x−10x+25−35+14x−35+49
=4x^2+8x+4
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