Answer:
see explanation
Step-by-step explanation:
This is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
16
= ( 4
)² ⇒ a = 4
1 = 1² ⇒ b = 1
Hence
16
- 1
= (4
)² - 1²
= (4
- 1)(4
+ 1)
4
- 1 ← is also a difference of squares and factors as
(2x² - 1)(2x² + 1)
Thus
16
- 1
= (2x² - 1)(2x² + 1)(4
+ 1 )
Answer:
(1 - 4x)³
Step-by-step explanation:
The first 2 terms are a difference of cubes and factor in general as
a³ - b³ = (a - b)(a² + ab + b²), thus
1 - 64x³
= 1³ - (4x)³
= (1 - 4x)(1 + 4x + 16x²)
Thus
1 - 64x³ + 48x² - 12x ← factor out 12x from each of the 2 terms
= (1 - 4x)(1 + 4x + 16x²) + 12x(4x - 1) ← factor out - 1 from (4x - 1)
= (1 - 4x)(1 + 4x + 16x²) - 12x(1 - 4x) ← factor out (1 - 4x) from the terms
= (1 - 4x)(1 + 4x + 16x² - 12x)
= (1 - 4x)(1 - 8x + 16x²) ← perfect square
= (1 - 4x)(1 - 4x)²
= (1 - 4x)³ ← in factored form
Answer:
562.5
Step-by-step explanation:
A = ½ (10 m/s + 35 m/s) (25 s)
Answer:
i do
Step-by-step explanation: