Question

допоможіть срочно треба написати ​

Answer 1

Ответ:1.

1)11$m^{2}$ - 11 =11($m^{2}$-1) = 11(m-1)*(m+1)

2)7$a^{3}$ - 7a = 7a*($a^{2}$-1)= 7a*(a-1)*(a+1)

3)5$x^{3}$-5$xy^{2}$=5x($(x^{2} -y^{2} )$ =5x*(x-y)*(x+y)

4)2x+24xy+72$y^{2}$=2($x^{2} +12xy+ 36y^{2})$ = 2(x+$6y)^{2}$

2.

1)$x^{2} +2xy+y^{2} -49$ = $(x+y)^{2}$-49=(x+y-7)*(x+y+7)

2)$a^{2}$-$9b^{2}$+6bc-$c^{2}$=$a^{2} -(9b^{2} - 6bc+c^{2} )$=$a^{2} -(3b-c)^{2}$=$(a-(3b-c))*(a+(3b-c))$=(a-3b+c)*(a+3b-c)

3)a-3b+$a^{2}$-$9b^{2}$=a-3b+(a-3b)*(a+3b)=(a-3b)*(1+a+3b)

3.1)8$x^{3}$-32x=0

   8x*($x^{2}$-4)=0

    x*($x^{2}$-4)=0

 x=0

$x^{2}$-4=0

$x^{2}$=4

x=±2

$x_{1}$=0

$x_{2}$=-2

$x_{3}$=2

2)25$x^{3}$-10x+x=0

x*($25x^{2}$-10x+1)=0

x*(5x-1$)^{2}$=0

x=0

(5x-$1)^{2}$=0

5x-1=0

5x=1

x=0,2

$x_{1} =0$

$x_{2} =0,2$