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ГДЗ Математика 7 клас Істер (2024)
Тема 5. МНОГОЧЛЕН
Розкладіть на множники:
1) x2 + bx – b2y – bxy = x(x + b) – by(b + x) = (x + b)(x – by);
2) a2b + c2 – abc – ac = (a2b – abc) + (c2 – ac) = ab(a – c) – c(a – c) = (a – c)(ab – c);
3) 7a3m + 14a2 – 6bm – 3am2b = 7a2(am + 2) – 3mb(2 + am) = (am + 2)(7a2 – 3mb);
4) 21x + 8tm3 – 24m2 – 7xtm = (21x – 7xtm) + (8tm3 – 24m2) = 7x(3 – tm) – 8m2(3 – tm) = (3 – tm)(7x – 8tm2).
1) x2 + bx – b2y – bxy = x(x + b) – by(b + x) = (x + b)(x – by);
2) a2b + c2 – abc – ac = (a2b – abc) + (c2 – ac) = ab(a – c) – c(a – c) = (a – c)(ab – c);
3) 7a3m + 14a2 – 6bm – 3am2b = 7a2(am + 2) – 3mb(2 + am) = (am + 2)(7a2 – 3mb);
4) 21x + 8tm3 – 24m2 – 7xtm = (21x – 7xtm) + (8tm3 – 24m2) = 7x(3 – tm) – 8m2(3 – tm) = (3 – tm)(7x – 8tm2).