Answer:
see explanation
Step-by-step explanation:
(a)
Given
2k - 6k² + 4k³ ← factor out 2k from each term
= 2k(1 - 3k + 2k²)
To factor the quadratic
Consider the factors of the product of the constant term ( 1) and the coefficient of the k² term (+ 2) which sum to give the coefficient of the k- term (- 3)
The factors are - 1 and - 2
Use these factors to split the k- term
1 - k - 2k + 2k² ( factor the first/second and third/fourth terms )
1(1 - k) - 2k(1 - k) ← factor out (1 - k) from each term
= (1 - k)(1 - 2k)
1 - 3k + 2k² = (1 - k)(1 - 2k) and
2k - 6k² + 4k³ = 2k(1 - k)(1 - 2k)
(b)
Given
2ax - 4ay + 3bx - 6by ( factor the first/second and third/fourth terms )
= 2a(x - 2y) + 3b(x - 2y) ← factor out (x - 2y) from each term
= (x - 2y)(2a + 3b)
Answer:
10
Step-by-step explanation:
(15 x 40) / (15+40)
solve inside the parenthesis:
600/60
divide:
10
Answer:
3 and 5 is the correct answer in this question
Step-by-step explanation:
please makes me a brainlest
Answer:
x = -8
Step-by-step explanation:
(4 · x) - (4 · 6) + 6 = 6x - 2
4x - 24 + 6 = 6x - 2
4x - 18 = 6x - 2
Isolate x.
4x = 6x - 2 + 18
4x = 6x + 16
4x - 6x = 16
-2x = 16
x = 16 ÷ -2
x = -8
I hope this helps! :)
Answer: Yes
Step-by-step explanation:
When using the distributive property, 6(2x + 4) becomes 12x + 24
6 * 2x = 12x and 6 * 4 = 24
12x + 24 = 12x + 24
Therefore, the expressions are equivalent.
