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Ответ:

[tex]\dfrac{ 59 ^ { 3 } -41 ^ { 3 } }{ 18 } +59 *41 = ( 59-41 ) \dfrac{ ( 59 ^ { 2 } +59 * 41+41 ^ { 2 } ) }{ 18 } +59* 41 = 59 ^ { 2 } +2* 59 * 41+41 ^ { 2 } = ( 59+41 ) ^ { 2 } =10000[/tex]

[tex]24a ^ { 3 } -3b ^ { 3 } =3(8a^3-b^3)=3(2a-b)(4a^2+2ab+b^2)\\[/tex]

[tex]x ^ { 2 } +4xy+4y ^ { 2 } -zx-2zy =x^2+(4y-z)x+4y^2-2zy=(x+2y)(x+2y-z)[/tex]

[tex](2x-1)(4x ^ { 2 } +2x+1)-4x(2x ^ { 2 } -3) =8x^3-1-8x^3+12x=12x-1\\12x-1=12*0.5-1=6-1=5[/tex]

[tex]x ^ { 2 } -y ^ { 2 } =48 \\ x+y=24 \\x=24-y\\ { (24-y ) }^{ 2 } - { y }^{ 2 } = 48 \\576-48y+y^2-y^2=48\\576-48y=48\\-48y=-528\\\\ y= \dfrac{ -528 }{ -48 } =11\\x=24-y\\x=24-11\\x=13[/tex]

Объяснение: