Phân tích nhân tử a) 4a*2-12ab+5b*2 b) a*4+a*2+1 Tìm GTNN: x*3+3x-1 07/07/2021 Bởi Harper Phân tích nhân tử a) 4a*2-12ab+5b*2 b) a*4+a*2+1 Tìm GTNN: x*3+3x-1
a, 4a² – 12ab + 5b² = (2a)² – 2.2a.3b + (3b)² – 4b² = (2a – 3b)² – (2b)² = (2a – 3b – 2b)(2a – 3b + 2b) = (2a – 5b)(2a – b) b, $a^{4}$ + a² + 1 = $a^{4}$ – a + a² + a + 1 = a(a – 1)(a² + a + 1) + (a² + a + 1) = (a² + a + 1)(a² – a + 1) Bình luận
a, `4a² – 12ab + 5b²` `= (2a)² – 2.2a.3b + (3b)² – 4b²` `= (2a – 3b)² – (2b)²` `= (2a – 3b – 2b)(2a – 3b + 2b)` `= (2a – 5b)(2a – b)` b, `a^4 + a² + 1 a^4 a^4` `= a^4 – a + a² + a + 1` `= a(a – 1)(a² + a + 1) + (a² + a + 1)` `= (a² + a + 1)(a² – a + 1)` Bình luận
a, 4a² – 12ab + 5b²
= (2a)² – 2.2a.3b + (3b)² – 4b²
= (2a – 3b)² – (2b)²
= (2a – 3b – 2b)(2a – 3b + 2b)
= (2a – 5b)(2a – b)
b, $a^{4}$ + a² + 1
= $a^{4}$ – a + a² + a + 1
= a(a – 1)(a² + a + 1) + (a² + a + 1)
= (a² + a + 1)(a² – a + 1)
a, `4a² – 12ab + 5b²`
`= (2a)² – 2.2a.3b + (3b)² – 4b²`
`= (2a – 3b)² – (2b)²`
`= (2a – 3b – 2b)(2a – 3b + 2b)`
`= (2a – 5b)(2a – b)`
b, `a^4 + a² + 1 a^4 a^4`
`= a^4 – a + a² + a + 1`
`= a(a – 1)(a² + a + 1) + (a² + a + 1)`
`= (a² + a + 1)(a² – a + 1)`