Doprowadź do najprostrzej postaci :
( a + 2){2} + ( 2a-3) {2} =
(3x-5){2} - (2x-4) {2} =
(3x + 4) {2} - 2(3-2x) {2} =
{2} - do potęgi drugiej
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a)
(a+2)²+(2a-3)²=a²+4+4a+4a²+9-12a=5a²-8a+13
b)
(3x-5)²-(2x-4)²=9x²+25-30x-(4x²+16-16x)=5x²-14x+9
c)
(3x+4)²-2(3-2x)²=9x²+16+24x-2(9+4x²-12x)=9x²-8x²+24x+24x+16-18=
=x²+48x-2
( a + 2)² + ( 2a-3)² = a²+2·a·2+2²+4a²-2·2a·3+3² = a²+4a+4+4a²-12a+9 = 5a²-8a+13
(3x-5)² - (2x-4)² = 9x²-30x+25-(4x²-16x+16) = 9x²-30x+25-4x²+16x-16 = 5x²-14x+9
(3x + 4)² - 2(3-2x)² = 9x²+24x+16-2(9-12x+4x²) = 9x²+24x+16-18+24x-8x² = x²+48x-2