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ГДЗ Алгебра 7 клас Істер (2024)
2. ЦІЛІ ВИРАЗИ
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Розкладіть на множники:
1) a2 + 2ab + b2 – 16 = (a + b)2 – 42 = (a + b – 4)(a + b + 4);
2) a2 – x2 – 2xy – y2 = a2 – (x2 + 2xy + y2) = a2 – (x + y)2 = (a – x – y)( a + x + y);
3) p2 – x2 + 10p + 25 = (p2 + 10p + 25) – x2 = (p + 5)2 – x2 = (p + 5 – x)(p + 5 + x);
4) p2 – x2 + 20x – 100 = p – (x2 – 20x + 100) = p – (x – 10)2 = (p – x + 10)(p + x – 10).
1) a2 + 2ab + b2 – 16 = (a + b)2 – 42 = (a + b – 4)(a + b + 4);
2) a2 – x2 – 2xy – y2 = a2 – (x2 + 2xy + y2) = a2 – (x + y)2 = (a – x – y)( a + x + y);
3) p2 – x2 + 10p + 25 = (p2 + 10p + 25) – x2 = (p + 5)2 – x2 = (p + 5 – x)(p + 5 + x);
4) p2 – x2 + 20x – 100 = p – (x2 – 20x + 100) = p – (x – 10)2 = (p – x + 10)(p + x – 10).