Question

Escreva a equações na forma reduzida
a) (2x-3)²=8x
b) (4x+1)²=(3x-7)²
c) x²+(x+1)²=25
d) x²+(x-3)²=(x+3)²
e) 3x²+3=(2x+1)²+4

Answer 1

a) (2x-3)²=8x
(4x)² -2.2x.3+(-3)²-8x
4x²-20x+9
b) (4x+1)²=(3x-7)²
(4x)²+2.4x.2+(1)²=(3x)²-2.3x.7(-7)²
4x²+16x+1-3x²+42x-49
x² + 58x - 48
c) x²+(x+1)²=25
x²+ (x)²+2.x.1+(1)²=25
x²+x²+2x+1-25
2x² + 2x -24
d) x²+(x-3)²=(x+3)²
x²+(x)²-2.x.3+(-3)² = (x)²+2.x.3+(3)²
x²+x²-6x+9-x²-6x-9
x²-12x
e) 3x²+3=(2x+1)²+4
3x²+3=(2x)²+2.2x.1+(1)²+4
3x²+3-2x²-4x-1-4
x²-4x-1