Question

Разложите на множители
1)25x²-10x+y²
2)16x²²+24xy+9y²
3)49-x²
4)b²-0,0001a⁴
5)16-a⁴

Answer 1

1) (5х-у)²
2)(4х+3у)²
3)(7+х)(7-х)
4)(b-a^2* 10^(-2) (b+ a^2 * 10^(-2))
5)(4-a^2)(4+a^2)

Answer 2

1)25x²- 10xу + y² = (5х)² - 2 × 5х × у² = (5 - у)² = (5 - у) × (5 - у)
2)16x²+24xy+9y² = (4х)² + 2 × 4х × 3у + (3у)² = (4х + 3у)² = (4х + 3у) × (4х + 3у)
3)49-x² = 7² - х² = (7 - х) × (7 + х)
4)b²-0,0001a⁴ = b² - (0,01²)² = (b - 0,01²) × (b + 0,01²)
5)16-a⁴ = 4² - (a²)² = (4 - a²) × (4 + a²)