Помогите 7 класс алгебра 30 балов дам 1)3b+bc+3ac+9a2)a[latex] a^{2} y^{2} - x^{6} [/latex]3)[latex] a^{3} - a^{2} b+3ac+9a[/latex]4)[latex] x^{2} - b^{2} -ax-ab[/latex]5)[latex] c^{2} -4c+4- 9^{2} [/latex]6)[latex] 4c^{2} +20c...
Помогите 7 класс алгебра 30 балов дам
1)3b+bc+3ac+9a
2)a[latex] a^{2} y^{2} - x^{6} [/latex]
3)[latex] a^{3} - a^{2} b+3ac+9a[/latex]
4)[latex] x^{2} - b^{2} -ax-ab[/latex]
5)[latex] c^{2} -4c+4- 9^{2} [/latex]
6)[latex] 4c^{2} +20c+25- 9a^{2} [/latex]
7)[latex] y^{2} x+y+y x^{2} +x+4yx+4[/latex]
8)[latex] y^{2} x+y+y x^{2} +x+4yx+4[/latex]
9)[latex] x^{2} +x-xy- y^{2} + y^{3} -x y^{2} [/latex]
Ответ(ы) на вопрос:
1) [latex]3b+bc+3ac+9a=b(3+c)+3a(c+3)=(c+3)(b+3a);[/latex]
2) [latex]a^{2}y^{2}-x^{6}=(ay)^{2}-(x^{3})^2=(ay-x^{3})(ay+x^{3});[/latex]
3) [latex]a^{3}-a^{2}b+3ac+9a=a(a^{2}-ab+3c+9)[/latex]
4) [latex] x^{2}-b^{2}-ax-ab=(x-b)(x+b)-a(x+b)=(x+b)(x-b-a);[/latex]
5) [latex] c^2-4c+4-9x^2=c^2-2\cdot2c+2^2-(3x)^2=(c-2)^2-(3x)^2=\\=(c-2-3x)(c-2+3x);[/latex]
6) [latex]4c^2+20c+25-9a^2=(2c)^2+2\cdot2c\cdot5+5^2-(3a)^2=\\=(2c+5)^2-(3a)^2=(2c+5-3a)(2c+5+3a);[/latex]
7) [latex] y^{2}x+y+yx^{2}+x+4yx+4=y(yx+1)+x(yx+1)+4(yx+1)=\\=(yx+1)(y+x+4);[/latex]
9) [latex]x^2+x-xy-y^2+y^3-xy^2=x(x+1-y)-y^2(1-y+x)=\\=(x+1-y)(x-y^2).[/latex]
1) 3b+bc+3ac+9a=b(3+c)+3a(c+3)=(b+3a)(3+c)
2) a²y²-x⁶=(ay)²-(x³)²=(ay-x³)(ay+x³)
3) a³-a²b+3ac+9a=a(a²-ab+3c+9)
4) x²-b²-ax-ab=(x-b)(x+b)-a(x+b)=(x+b)(x-b-a)
5) c²-4c+4-9х²=(c-2)²-9х²=(c-2-3х)(c-2+3х)
6) 4c²+20c+25-9a²=(2c+5)²-9a²=(2c+5-3a)(2c+5+3a)
7) y²x+y+yx²+x+4yx+4=y(yx+1)+x(yx+1)+4(yx+1)=(y+x+4)(yx+1)
8) y²x+y+yx²+x+4yx+4=y(yx+1)+x(yx+1)+4(yx+1)=(y+x+4)(yx+1)
9) x²+x-xy-y²+y³-xy²=x(x+1-y)-y²(1-y+x)=(x-y²)(x+1-y)
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