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Люцикокун
@Люцикокун
July 2021
1
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Упростите выражение.
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m11m
Упростите выражение:
1)
5a
+
5a-1
-
17-20a
=
5a
-
5a-1
-
17-20a
=
3a+2 2-3a 9a²-4 3a+2 3a-2 (3a-2)(3a+2)
=
5a(3a-2)-(5a-1)(3a+2)-(17-20a)
=
15a² -10a -(15a²-3a+10a-2) -17+20a
=
(3a-2)(3a+2) (3a-2)(3a+2)
=
15a²-10a-15a²-7a+2-17+20a
=
3a+2
=
1
(3a-2)(3a+2) (3a-2)(3a+2) 3a-2
2)
1
:
5a-25
=
1
*
(3a-2)²
=
3a-2
3a-2 4-12a+9a² 3a-2 5a-25 5a-25
2 votes
Thanks 2
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Answers & Comments
1) 5a + 5a-1 - 17-20a = 5a - 5a-1 - 17-20a =
3a+2 2-3a 9a²-4 3a+2 3a-2 (3a-2)(3a+2)
= 5a(3a-2)-(5a-1)(3a+2)-(17-20a) = 15a² -10a -(15a²-3a+10a-2) -17+20a =
(3a-2)(3a+2) (3a-2)(3a+2)
= 15a²-10a-15a²-7a+2-17+20a = 3a+2 = 1
(3a-2)(3a+2) (3a-2)(3a+2) 3a-2
2) 1 : 5a-25 = 1 * (3a-2)² = 3a-2
3a-2 4-12a+9a² 3a-2 5a-25 5a-25