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ГДЗ Алгебра 7 клас Істер (2024)
2. ЦІЛІ ВИРАЗИ
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Розкладіть на множники:
1) a2 – b2 – (a – b) = (a2 – b2) – (a – b) = (a – b)(a + b) – (a – b) = (a – b)(a + b – 1);
2) p2 – b – p – b2 = (p2 – b2) – (b + p) = (p – b)(b +p) – (b + p) = (b + p)(p – b – 1);
3) 16x2 – 25y2 + 4x – 5y = (16x2 – 25y2) + (4x – 5y) = (4x – 5y)(4x + 5y) + (4x – 5y) = (4x – 5y)(4x + 5y + 1);
4) 100m2 – 10m + 9n – 81n2 = (100m2 – 81n2) – (10m – 9n) = (10m – 9n)(10m + 9n) – (10m – 9m) = (10m – 9n)(10m + 9n – 1).
1) a2 – b2 – (a – b) = (a2 – b2) – (a – b) = (a – b)(a + b) – (a – b) = (a – b)(a + b – 1);
2) p2 – b – p – b2 = (p2 – b2) – (b + p) = (p – b)(b +p) – (b + p) = (b + p)(p – b – 1);
3) 16x2 – 25y2 + 4x – 5y = (16x2 – 25y2) + (4x – 5y) = (4x – 5y)(4x + 5y) + (4x – 5y) = (4x – 5y)(4x + 5y + 1);
4) 100m2 – 10m + 9n – 81n2 = (100m2 – 81n2) – (10m – 9n) = (10m – 9n)(10m + 9n) – (10m – 9m) = (10m – 9n)(10m + 9n – 1).