СРОЧНО, 22 задание!!!!. Created by Twilighte007. algebra-ru

СРОЧНО, 22 задание!!!!...

Cream16

$x^2-25=(x-5)(x+5) \\ 
16-c^2=(4-c)(4+c) \\ 
a^2-6a+9=(a-3)^2 \\ 
x^2+8x+16=(x+4)^2 \\ 
a^3-8=(a-2)(a^2+2a+4); \\ 
b^3+27=(b+3)(b^2-3b+9).
$

Используем формулу:

$a^2+b^2=(a+b)(a+b)=(a+b)^2 \\ (a+b)^2=a^2+2ab+b^2 \\ a^3+b^3=(a+b)(a^2-ab+b^2) \\ a^2-b^2=(a-b)(a+b); \\ (a-b)^2=a^2-2ab+b^2; \\ a^3-b^3=(a-b)(a^2+ab+b^2);$

1 votes Thanks 0

oksik1970 #22.
а) х^2 - 25 = (х - 5)(х + 5)
б) 16 - с^2 = (4 - с)(4 + с)
в) а^2 - 6а + 9 = (а - 3)^2
г) х^2 + 8х + 16 = (х + 4)^2
д) а^3 - 8 =(а - 2)(а^2 + 2а + 4)
е) b^3 + 27 =(b + 3)(b^2 - 3b + 9)

0 votes Thanks 1

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