7. Раскройте скобки и приведите подобные слагаемые: 1) 3b+(5a-7b); 2)-3g-(8p-3g); 3) 5x+(11-7x); 4)-(8c-4)+4; 5) (2+3)+(7-2); 6)-(11a+b)-(12a-3b); 7) (5-3b)+(3b-11); 8) (5a-3b)-(2+5a-3b); 9)a+(a-10)-(12+a); 10) (6x-8)-5x-(4-9x); 11) (1-9y)-(22y-4)-5; 12) 5b-(6b+a)-(a-6b).

Question

Вопрос:

Accepted Answer

Сначала раскрываем скобки, затем приводим подобные слагаемые.

\(3b+(5a-7b) = 3b+5a-7b = 5a-4b\)
\(-3g-(8p-3g) = -3g-8p+3g = -8p\)
\(5x+(11-7x) = 5x+11-7x = 11-2x\)
\(-(8c-4)+4 = -8c+4+4 = -8c+8\)
\((2+3)+(7-2) = 2+3+7-2 = 10\)
\(-(11a+b)-(12a-3b) = -11a-b-12a+3b = -23a+2b\)
\((5-3b)+(3b-11) = 5-3b+3b-11 = -6\)
\((5a-3b)-(2+5a-3b) = 5a-3b-2-5a+3b = -2\)
\(a+(a-10)-(12+a) = a+a-10-12-a = a-22\)
\((6x-8)-5x-(4-9x) = 6x-8-5x-4+9x = (6-5+9)x + (-8-4) = 10x-12\)
\((1-9y)-(22y-4)-5 = 1-9y-22y+4-5 = (-9-22)y + (1+4-5) = -31y\)
\(5b-(6b+a)-(a-6b) = 5b-6b-a-a+6b = (5-6+6)b + (-1-1)a = 5b-2a\)

Ответ: 1) 5a-4b; 2) -8p; 3) 11-2x; 4) -8c+8; 5) 10; 6) -23a+2b; 7) -6; 8) -2; 9) a-22; 10) 10x-12; 11) -31y; 12) 5b-2a.