Вариант 1:а) у+4у+4у+4у−2у-2у−2 = у^2 + 4у - 2у - 8 = у^2 + 2у - 8б) 3x−53x-53x−52x+92x+92x+9 = 6x^2 + 27x - 10x - 45 = 6x^2 + 17x - 45в) m+1m+1m+1m2−m+3m^2-m+3m2−m+3 = m^3 - m^2 + 3m + m^2 - m + 3 = m^3 + 2m + 3г) −c−3-c-3−c−3c+1c+1c+1 = -c^2 - 3c + c + 3 = -c^2 - 2c + 3д) 11a−411a-411a−43−2a3-2a3−2a = 33 - 22a - 12a + 8a^2 = 8a^2 - 34a + 33e) x−tx-tx−tx2+2xt−3t2x^2+2xt-3t^2x2+2xt−3t2 = x^3 + 2x^2t - 3xt^2 - tx^2 - 2t^2x + 3t^3 = x^3 - tx^2 + 2x^2t - 5xt^2 + 3t^3
Вариант 2:а) t−3t-3t−3t+5t+5t+5 = t^2 + 5t - 3t - 15 = t^2 + 2t - 15б) 4x−74x-74x−73x−83x-83x−8 = 12x^2 - 32x - 21x + 56 = 12x^2 - 53x + 56в) v−2v-2v−2vg+3v−4vg+3v-4vg+3v−4 = v^2g + 3v^2 - 4v - 2vg - 6v + 8 = v^2g + 3v^2 - 2vg - 10v + 8г) p+7p+7p+7−n−4-n-4−n−4 = -np - 4p + 7n + 28 = -np - 4p + 7n + 28д) 13p−113p-113p−113p+113p+113p+1 = 169p^2 + 13p - 13p - 1 = 169p^2 - 1e) a+ba+ba+ba2−ab+b2a^2-ab+b^2a2−ab+b2 = a^3 - a^2b + ab^2 + ab^2 - ab^2 + b^3 = a^3 + b^3
Вариант 1:
а) у+4у+4у+4у−2у-2у−2 = у^2 + 4у - 2у - 8 = у^2 + 2у - 8
б) 3x−53x-53x−52x+92x+92x+9 = 6x^2 + 27x - 10x - 45 = 6x^2 + 17x - 45
в) m+1m+1m+1m2−m+3m^2-m+3m2−m+3 = m^3 - m^2 + 3m + m^2 - m + 3 = m^3 + 2m + 3
г) −c−3-c-3−c−3c+1c+1c+1 = -c^2 - 3c + c + 3 = -c^2 - 2c + 3
д) 11a−411a-411a−43−2a3-2a3−2a = 33 - 22a - 12a + 8a^2 = 8a^2 - 34a + 33
e) x−tx-tx−tx2+2xt−3t2x^2+2xt-3t^2x2+2xt−3t2 = x^3 + 2x^2t - 3xt^2 - tx^2 - 2t^2x + 3t^3 = x^3 - tx^2 + 2x^2t - 5xt^2 + 3t^3
Вариант 2:
а) t−3t-3t−3t+5t+5t+5 = t^2 + 5t - 3t - 15 = t^2 + 2t - 15
б) 4x−74x-74x−73x−83x-83x−8 = 12x^2 - 32x - 21x + 56 = 12x^2 - 53x + 56
в) v−2v-2v−2vg+3v−4vg+3v-4vg+3v−4 = v^2g + 3v^2 - 4v - 2vg - 6v + 8 = v^2g + 3v^2 - 2vg - 10v + 8
г) p+7p+7p+7−n−4-n-4−n−4 = -np - 4p + 7n + 28 = -np - 4p + 7n + 28
д) 13p−113p-113p−113p+113p+113p+1 = 169p^2 + 13p - 13p - 1 = 169p^2 - 1
e) a+ba+ba+ba2−ab+b2a^2-ab+b^2a2−ab+b2 = a^3 - a^2b + ab^2 + ab^2 - ab^2 + b^3 = a^3 + b^3