Question

a) x^2 + 6x + 9
b) x^2 - 14x +49
c)9x^2 - 6xy +y2
d)36x^2 +24xy +4y^2

me ajudemmm pfv​

Answer 1

Oie, Td Bom?!

a)

$= x {}^{2} + 6x + 9$

$= x {}^{2} + 2 \: . \: x \: . \: 3 + 3 {}^{2}$

$= (x + 3) {}^{2}$

b)

$= x {}^{2} - 14x + 49$

$= x {}^{2} - 2 \: . \: x \: . \: 7 + 7 {}^{2}$

$= (x - 7) {}^{2}$

c)

$= 9x {}^{2} - 6xy + y {}^{2}$

$= 3 {}^{2} x {}^{2} - 2 \: . \: 3x \: . \: y + y {}^{2}$

$= (3x) {}^{2} - 2 \: . \: 3x \: . \: y + y {}^{2}$

$= (3x - y) {}^{2}$

d)

$= 36x {}^{2} + 24xy + 4y {}^{2}$

$= 4(9x {}^{2} + 6xy + y {}^{2} )$

$= 4 \: . \: 3 {}^{2} x {}^{2} + 2 \: . \: 3x \: . \: y + y {}^{2}$

$= 4 \: . \: (3x) {}^{2} + 2 \: . \: 3x \: . \: y + y {}^{2}$

$= 4(3x + y) {}^{2}$

Att. Makaveli1996