Пошаговое объяснение:
а) (5х–2)(5х+2)–0,5(2х+3)²= (25х²–4)–0,5(4х²+12х+9)= (25х²–4)–(2х²+6х+4,5)= 25х²–4–2х²–6х–4,5= 23х²–6х–8,5
б) 6х–7–3(4х–1)(2–3х)= 6х–7–3(8х–12х²–2+3х)= 6х–7–(24–36х²–6+9х)= 6х–7–24+36х²+6–9х= 36х²–3х–25
№2
а) 4х–х³=х(4–х²)=х(2–х)(2+х)
б) –а²+2а–1=–(а–1)²= –(а–1)(а–1)
в) а²–б²+а–б= (а–б)(а+б)+(а–б)= (а–б)(а+б+1)
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Answers & Comments
Пошаговое объяснение:
а) (5х–2)(5х+2)–0,5(2х+3)²= (25х²–4)–0,5(4х²+12х+9)= (25х²–4)–(2х²+6х+4,5)= 25х²–4–2х²–6х–4,5= 23х²–6х–8,5
б) 6х–7–3(4х–1)(2–3х)= 6х–7–3(8х–12х²–2+3х)= 6х–7–(24–36х²–6+9х)= 6х–7–24+36х²+6–9х= 36х²–3х–25
№2
а) 4х–х³=х(4–х²)=х(2–х)(2+х)
б) –а²+2а–1=–(а–1)²= –(а–1)(а–1)
в) а²–б²+а–б= (а–б)(а+б)+(а–б)= (а–б)(а+б+1)