Question

розкласти тричлен на множники
у^2-10у+24
m^2+3m+2
x^2-2x-8
t^2-8t+16​

Answer 1

${y}^{2} - 10y + 24 = {y}^{2} - 4y - 6y + 24 = y(y - 4) - 6(y - 4) = (y - 4)(y - 6)$

${m}^{2} + 3m + 2 = {m}^{2} + 2m + m + 2 = m(m + 2) + m + 2 = (m + 2)(m + 1)$

${x}^{2} - 2x - 8 = x(x + 2) - 4(x + 2) = (x + 2)(x - 4)$

${t}^{2} -8t + 16 = {t}^{2} - 2 \times t \times 4 + {4}^{2} = (t - {4})^{2}$