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:
84 = 7×12
84 = 3×4×7
84 = 2×2×3×7
Step-by-step explanation:
84 = 7 × 12 ( the factors of 12 are 3×4)
so 84 = 3×4×7 ( the factors of 4 are 2×2)
so 84 = 2x2x3x7
I hope it helps you!
For -4+3,
1. start with zero
2. move to left (-x axis) for 4 units (-4)
3. then move to right (+x axis) for 3 units (+3)
For 3+(-4)
1. Start with zero
2. Move the point to right side by 3 units (+3)
3. then move the point to the left by 4 units (-4)
For both you'll stop at -1.
Answer=A
To find the gcf, we need to factor each number.
154=2*7*11
196=2*2*7*7
The number have a factor of 2 and a factor of 7 in common, so...
GCF=2*7
12 times 2 is 24, and 24 times 2 is 48, so there was 48 cookies