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Решите задачу:

$1)(13+x) ^{2} =169+ x^{2} +26x\\2)(4b+a) ^{2} =16b ^{2} +a ^{2} +8ab \\ 3)(8c-k) ^{2} =64c ^{2} +k ^{2} -16ck \\ 4)( \sqrt{2} + \sqrt{6} ) ^{2} =2+6+2 \sqrt{12} =8+2*2 \sqrt{3} = \\ =8+4 \sqrt{3} \\ 5)( \sqrt{3} + \sqrt{7} ) ^{2} =3+7+2 \sqrt{21} =10+2 \sqrt{21} \\ 6)( \sqrt{7} - \sqrt{5} ) ^{2} =7+5-2 \sqrt{35} =12-2 \sqrt{35} \\ 7)(8x-3)^{2} =64 x^{2} +9-48x\\8)(x-3)(x+3)= x^{2}-9 \\ 9)(x-4)(x+4)= x^{2} -16$

$1) (15 ^{2} -4)=(15-2)(15+2)\\2)(225- x^{2} )=(15-x)(15+x)\\3)(400- x^{2} )=(20-x)(20+x)\\4)(100-y ^{2} )=(10-y)(10+y) \\ 5)(9-z ^{2} )=(3-z)(3+z) \\ 6)(81 x^{2} -y ^{2} )=(9x-y)(9x+y)\\ \\ 7)25+10x+ x^{2} =(5+x) ^{2} \\8) ab ^{4} -4a x^{2} =a(b ^{4} -4 x^{2} )=a(b ^{2} -2x)(b ^{2} +2x) \\ 9)m ^{4} + m^{2} +m+1= \\ =m ^{2} (m ^{2} +1)+(m+1)$