1)0,09x⁴ - 25y² = (0,3x²)² - (5y)² = (0,3x² - 5y)(0,3x² + 5y)
2) - m² + 12mn - 36n² = - (m² - 12mn + 36n²) = - (m - 6n)² =
= - (m - 6n)(m - 6n)
3)81a³x - 3x = 3x(27a³ - 1) = 3x(3a - 1)(9a² + 3a + 1)
4) 6(a + b) + (a + b)² = (a + b)(6 + a + b)
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
1)0,09x⁴ - 25y² = (0,3x²)² - (5y)² = (0,3x² - 5y)(0,3x² + 5y)
2) - m² + 12mn - 36n² = - (m² - 12mn + 36n²) = - (m - 6n)² =
= - (m - 6n)(m - 6n)
3)81a³x - 3x = 3x(27a³ - 1) = 3x(3a - 1)(9a² + 3a + 1)
4) 6(a + b) + (a + b)² = (a + b)(6 + a + b)
Verified answer
1) (0.3х²-5у)(0.3х²+5у)2) -(m-6n) ²
3) 3x*(27a³-1)=3x(3a-1)(9a²+3a+1)
4)(a+b)(a+b+6)