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:
sum of interior angle of heptagon is 900°.
140°+148°+136°+150°+142°+90°+x=900°
806+x=900°
x=900°-806°
x=94°
Answer:
Step-by-step explanation:
I think it would be A because if you multiply the square by a 30 thinking there all the same space between it will give u 120 square yards
Answer: 36
Step-by-step explanation:
1) Find the prime factorization of 12
12=2*2*3
2) Find the prime factorization of 18
18=2*3*3
3) Multiply each factor the greater number of times it occurs in the first two steps above to find the LCM.
LCM=2*2*3*3
4) LCM=36
