Question

ДАЮ 80 БАЛОВ ЗА ВСЕ!!!СРОЧНО!!! ПОМОГИТЕ ПОЖАЛУЙСТА!!!!

Answer 1

Ответ:

1.

1) $x^{2} +6x+9$

2) $y^{2} -8y+16$

3) $ab+\frac{b^{2} }{4} +a^{2}$

4) $-4xy+\frac{x^{2} }{25} +100y^{2}$

5) $(xy(12y-x))^{2} = 144x^{2} y^{4} +y^{2} x^{4} -24(xy)^{3}$

6) ??

2.

1) $9m^{2}-42mn+49n^{2}-9m(m-5n)=9m^{2}-42mn+49n^{2}-9m^{2}+45mn=-42mn+49n^{2}+45mn=3mn+49n^{2} =n(3m+49n)$

2) $144a^{2} -24ab+b^{2} -(9a-b)(16a+2b)=144a^{2} -24ab=b^{2} -144a^{2} -2ab+2b^{2} =-24ab+b^{2} -2ab+2b^{2} =3b^{2} -26ab=b(3b-26a)$

3)$x^{2} +4x+4-(x-3)(x+3)=x^{2} +4x+4-(x^{2} -9)=x^{2} +4x+4-x^{2} +9=4x+4+9=4x+13$

Answer 2

1.

1)  $(x+3)^2=x^{2} +6x+9$

2)  $(4-y)=16-8y+y^2$

3)  $(a+\frac{1}{2}b)^2= a^2+ab+\frac{1}{4}b^2$

4)  $(0,2x-10y)^{2}=0,04x^{2} -4xy+100y^{2}$

5)   $(12xy^{2}-x^{2} y)^2=144x^{2} y^4-24x^3y^3+x^{4} y^{2}$

6)   $(4a^6+39^4b^3)^2=16a^{12}+8*39^4a^6b^3+39^8b^6$

2.

1)   $(3m-7n)^2-9m(m-5n)=9m^2-42mn+49n^2-9m^2+45mn=49n^2+3mn$

2)   $(12a-b)^2-(9a-b)(16a+2b)=144a^2-24ab+b^2-(144a^2-16ab+18ab-2b^2)=$

    $=144a^2-24ab+b^2-144a^2+16ab-18ab+2b^2=3b^2-26ab$

3)  $(x+2)^{2} -(x-3)(x+3)=x^{2} +4x+4-x^{2} +9=4x+13$