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venera2501
@venera2501
July 2022
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Решите 531(1,2) пожалуйста
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m11m
531.
1)
2m
+
3n
=
2m
+
3n
=
2m(m-n)+3n(m+n)
=
5m+5n 5m-5n 5(m+n) 5(m-n) 5(m+n)(m-n)
=
2m²-2mn+3mn+3n²
=
2m²+3n²+mn
5(m²-n²) 5m²-5n²
2)
7x
-
2x
=
7x
-
2x
=
7x(x-y)-2x(x+y)
=
7x²-7xy-2x²-2xy
=
3x+3y 3x-3y 3(x+y) 3(x-y) 3(x+y)(x-y) 3(x²-y²)
=
5x²-9xy
3x²-3y²
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Answers & Comments
1) 2m + 3n = 2m + 3n = 2m(m-n)+3n(m+n) =
5m+5n 5m-5n 5(m+n) 5(m-n) 5(m+n)(m-n)
=2m²-2mn+3mn+3n² = 2m²+3n²+mn
5(m²-n²) 5m²-5n²
2) 7x - 2x = 7x - 2x = 7x(x-y)-2x(x+y) = 7x²-7xy-2x²-2xy =
3x+3y 3x-3y 3(x+y) 3(x-y) 3(x+y)(x-y) 3(x²-y²)
=5x²-9xy
3x²-3y²