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gun6
@gun6
August 2022
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Dakushka
№1.
а) 2(х^2 - 4)=2(х-2)(х+2)
б) 2(9- у^2) = 2(3-y)(3+y)
в) k(t^2 -1) = k(t-1)(t+1)
г) 3(c^2 - x^2) = 3(c-x)(c+x)
д)x(x^2 -4) = x(x-2)(x+2)
е)2a(16a^2 -1)= 2a(4a-1)(4a+1)
№2.
а) 2(u^3 - v^3) = 2(u-v)(u^2 +uv+ v^2)
б) 3(z^3 + w^3) = 2(z+w)(z^2 -zw+ w^2)
в) аналогично примеру выше
г) w(w^3 -1) = w(w^3 -3w^2 + 3w - 1)
д) z(z^3+8) = z(z^3+3z^2 * 2 + 3z * 4 + 8)
е) (x^2 - 4z^2)(x^2 + 4z^2) = (x^2 + 4z^2)(x-2z)(x+2z)
ж) аналогично примеру выше (81 = 3^4)
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Answers & Comments
а) 2(х^2 - 4)=2(х-2)(х+2)
б) 2(9- у^2) = 2(3-y)(3+y)
в) k(t^2 -1) = k(t-1)(t+1)
г) 3(c^2 - x^2) = 3(c-x)(c+x)
д)x(x^2 -4) = x(x-2)(x+2)
е)2a(16a^2 -1)= 2a(4a-1)(4a+1)
№2.
а) 2(u^3 - v^3) = 2(u-v)(u^2 +uv+ v^2)
б) 3(z^3 + w^3) = 2(z+w)(z^2 -zw+ w^2)
в) аналогично примеру выше
г) w(w^3 -1) = w(w^3 -3w^2 + 3w - 1)
д) z(z^3+8) = z(z^3+3z^2 * 2 + 3z * 4 + 8)
е) (x^2 - 4z^2)(x^2 + 4z^2) = (x^2 + 4z^2)(x-2z)(x+2z)
ж) аналогично примеру выше (81 = 3^4)