Question

Разложить на множители: 1) (a+5)*(a+5)-(a+3)*(b+6) 2) (3X-1)*(8b+1)+(7B-3)*(1-3x)3) (x+5)*(2a+1)+(x+5)*(3a-8)4) (5n-3)*(n+1)-(2n+3)*(3-5m)

Answer 1

1) а"2+10a+25-ab-3b-6a-18=a*a+4a+7-ab-3b=(a+3)(a+3)-2-2a-b(a+3)=
=(a+3)(a+3-b)-2(a+3)+4=(a+3)(a-b+1)+4

Answer 2

1) (a+5)*(a+5) - (a+3)*(b+6) = (a+5)^2 - (a+3)*(b+6) = (a^2 + 10a + 25) - (ab + 18a + 3b + 18) = a^2 + 10a + 25 - ab - 18a - 3b - 18 = a^2 - ab - 8a - 3b + 7 2) (3x-1)*(8b+1) + (7b-3)*(1-3x) = (3x*8b + 3x + -1*8b + -1) + (7b*1 + 7b + -3*1 + -3x) = 24xb + 3x - 8b - 1 + 7b + 7b - 3 - 3x = 24xb - x + 6b - 4 3) (x+5)*(2a+1) + (x+5)*(3a-8) = (x*2a + x + 5*2a + 5) + (x*3a + x - 8*3a - 8) = 2ax + x + 10a + 5 + 3ax + x - 24a - 8 = 5ax - 14a - 2 + 2x 4) (5n-3)*(n+1) - (2n+3)*(3-5m) = (5n*n + 5n - 3*n - 3) - (2n*3 - 2n*5m + 3*3 - 3*5m) = 5n^2 + 5n - 3n - 3 - 6n + 10mn + 9 - 15m = 5n^2 - 4n + 10mn + 6 - 15m