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ADUCETI EXPRESIILE DE MAI JOS LA O FORMA MAI SIMPLAA
[tex] x^{3} -8=[/tex]
[tex] x^{2} -81[/tex]=
[tex](3x+4y) ^{2} -(4x+3y) ^{2} [/tex]


Răspuns :

a³ - b³ = ( a -b ) ( a² + ab + b²)
1) =(x-2)(x
²+2x+4)

(a + b)  ( a - b ) = a² - b²
2)= (x+9)(x-9)=(x+9)(√x+3)(√x-3)

 ( a + b )² = a² + 2ab + b²    
3)=(9x²+24xy+16y²)-(16x²+24xy+9y²)=9x²+24xy+16y²-16x²-24xy-9y²=7y²-7x²=(√7y+√7x)(√7y-√7x)

1) x³-8=x³-2³=(x-2)(x-2)²=(x-2)(x
²+2x+4)


2)x²-81=x²-9²= (x-9)(x+9)


3)
(3x+4y)²-(4x+3y)²=(9x²+24xy+16y²)-(16x²+24xy+9y²)=9x²+24xy+16y²-16x²-24xy-9y²=7y²-7x²