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sovushka228
@sovushka228
July 2022
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ТЕСТ 25.Разложение разности квадратов на множители.Вариант 3,часть 1.
разложить на множители:
1) a^2-36b^2
2)1/25y^4-x^2(1/25-дробь)
3)25y^2-(11+4y)^2
4)x^2-8xy+16y^2-z^2
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litanalove
1) (a-6b)(a+6b)
2) (1/5y²-x)(1/5y²+x)
3) пусть 11+4у=х
25y²-x²=(5y-x)(5y+x)
подставим
(5y-(11+4y)(5y+(11+4y)=
=(y-11)(9y+11)
4) x²-8xy+16y²-z²=
=(x-4y)²-z²
пусть x-4y=a
a²-z²=(a-z)(a+z)=
=(x-4y-z)(x-4y+z)
1 votes
Thanks 3
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Answers & Comments
2) (1/5y²-x)(1/5y²+x)
3) пусть 11+4у=х
25y²-x²=(5y-x)(5y+x)
подставим
(5y-(11+4y)(5y+(11+4y)=
=(y-11)(9y+11)
4) x²-8xy+16y²-z²=
=(x-4y)²-z²
пусть x-4y=a
a²-z²=(a-z)(a+z)=
=(x-4y-z)(x-4y+z)