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Упростите выражения.
4. (4-x)2-x²=
5. y²-(y-1)²=
6. 4xy-(x+y)²=
7. 15w-36+(w-6)²=
8. 1+3p²-(2p+1)²=
9. (2-3a)²-(8a²-2)=
10. (a-b)²+2a(b-a)=
Упростите выражения.
4. (4-x)2-x²=
5. y²-(y-1)²=
6. 4xy-(x+y)²=
7. 15w-36+(w-6)²=
8. 1+3p²-(2p+1)²=
9. (2-3a)²-(8a²-2)=
10. (a-b)²+2a(b-a)=
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Answers & Comments
5. y^2 - (y^2 - 2y + 1) = 2y - 1
6. 4xy - (x^2 + 2xy + y^2) = 2xy - x^2 - y^2
7. 15w - 36 + w^2 - 12w + 36 = w^2 + 3w = w×(w + 3)
8. 1 + 3p^2 - 4p^2 + 4p - 1 = 4p - p^2 = p×(4-p)
9. 4 - 12a + 9a^2 - 64a^4 + 32a^2 - 4 = 41a^2 - 64a^4 - 12a
10. a^2 - 2ab + b^2 + 2ab - 2a^2 = b^2 - a^2 = (b-a)(b+a)