Question

Разложите на множители
1) 5х²у²-45у²с²
2) 2х²+24ху+72у²

Answer 1

$5x ^{2} y ^{2} -45y ^{2} c ^{2} \\5y ^{2} (x ^{2} -9c ^{2} ) \\5y ^{2} *(x-3c)*(x+3c) \\--------- \\2x ^{2} +24xy+72y ^{2} \\2(x ^{2} +12xy+36y ^{2} ) \\2(x+6y) ^{2}$

Answer 2

1)
$5y {}^{2} (x {}^{2} - 9 c ^{2})$
2)
$2(x + 6) {}^{2}$