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ГДЗ Алгебра 8 клас Істер (2025)
Розділ 1. РАЦІОНАЛЬНІ ВИРАЗИ
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5.17 Спростіть вираз:
1) (54a^2 c)/(81b^3 ) • 32ab/(13c^3 ) • (52bc^2)/(128a^3 ) = (54a^2 c • 52ab • 52bc^2)/(81b^3 • 13c^3 • 128a^3 ) = (2a^3 b^2 c^3)/(3a^3 b^3 c^3 ) = 2/3b;
2) (147x^4 y^2 )/p^3 • 10xp2 • y^3/(105x^5 y) = (174x^4 y^2 • 10xp^2•〖 y〗^3)/(p^(3 )• 105x^5 y) = (14x^5 y^5 p^2)/(x^5 yp^3 ) = (14y^4)/p.
5.18 Виконайте дії:
1) (14xz^3)/(81y^2 ) • (27y^3)/5xz • 45xy/(7z^2 ) = (14xz^3• 27y^3• 45xy)/(81y^2• 5xz • 7z^2 ) = (6x^2 y^4 z^3)/(xy^2 z^3 ) = (6xy^2)/1 = 6xy2;
2) b^3/(111m^5 ) • 3mc3 • (74m^3 b)/c^4 = (b^3• 3mc^3• 74m^3 b)/(111m^5 • 1 • c^4 ) = (2m^4 c^3 b^4)/(m^5 c^4 ) = (2b^4)/mc.
1) (54a^2 c)/(81b^3 ) • 32ab/(13c^3 ) • (52bc^2)/(128a^3 ) = (54a^2 c • 52ab • 52bc^2)/(81b^3 • 13c^3 • 128a^3 ) = (2a^3 b^2 c^3)/(3a^3 b^3 c^3 ) = 2/3b;
2) (147x^4 y^2 )/p^3 • 10xp2 • y^3/(105x^5 y) = (174x^4 y^2 • 10xp^2•〖 y〗^3)/(p^(3 )• 105x^5 y) = (14x^5 y^5 p^2)/(x^5 yp^3 ) = (14y^4)/p.
5.18 Виконайте дії:
1) (14xz^3)/(81y^2 ) • (27y^3)/5xz • 45xy/(7z^2 ) = (14xz^3• 27y^3• 45xy)/(81y^2• 5xz • 7z^2 ) = (6x^2 y^4 z^3)/(xy^2 z^3 ) = (6xy^2)/1 = 6xy2;
2) b^3/(111m^5 ) • 3mc3 • (74m^3 b)/c^4 = (b^3• 3mc^3• 74m^3 b)/(111m^5 • 1 • c^4 ) = (2m^4 c^3 b^4)/(m^5 c^4 ) = (2b^4)/mc.