The equation 4x^3+10x^2 – 6x is factorized as 2x(x+3)(2x – 1).
Option B represents the correct factors of the equation.
<h3>
What is a Factor of the number?</h3>
A factor of the number can be defined as a divisor of the number that divides it completely without leaving any remainder.
Given equation is 4x^3+10x^2 – 6x. This can be factorized as given below.
We take the common term 2x, then,
Hence we can conclude that the factors of the given equation are 2x(x+3)(2x – 1). Option B shows the correct factors.
To know more about the factors, follow the link given below.
brainly.com/question/3423184.
Answer:
not all of them are proportional because they do not all equal the same.
Step-by-step explanation:
Good morning ☕️
Answer:
Step-by-step explanation:
4(a+b) - 6(a+b)²
here we need to find the common factor between 4(a+b) and 6(a+b)²
4(a+b) = 2×[2(a+b)]
6(a+b)² = 2×3×(a+b)×(a+b) = 3(a+b)×[2(a+b)]
then
4(a+b) - 6(a+b)² = 2×[2(a+b)] − 3(a+b)×[2(a+b)]
= [2(a+b)]×[2 - 3(a+b)]
= 2(a+b)×(2 − 3a − 3b)
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Answer:B
Step-by-step explanation:
Let present age of women and her daughter be x and y respectively.
<u>According to the questi</u>on,
Case 1 :
Two years ago,
Woman age = ( x - 2 ) years
Her daughter age = ( y - 2 ) years
Woman was 7 times old as her daughter. [ Given ]
x - 2 = 7 ( y - 2 )
=> x - 2 = 7y - 14
=> x - 2 + 14 = 7y
=> x + 12 = 7y ....( i )
Case 2 :
After Three years ,
Woman age = x + 3
Her daughter age = y + 3
she would be 4 times old as the girl. [ Given ]
x + 3 = 4 ( y + 3 )
=> x + 3 = 4y + 12
=> x = 4y + 12 - 3
=> x = 4y + 9....( ii )
Now,
★ Substituting the value of x = 4y + 9 from equation ( ii ) in equation ( i ),we get
x + 12 = 7y
=> 4y + 9 + 12 = 7y
=> 21 = 7y - 4y
=> 21 = 3y
=> 3y = 21
=> y = 21/3
=> y = 7
And,
x = 4y + 9
★ Substituting the value of y in equation ( ii ), we get
x = 4 × 7 + 9
x = 28 + 9
x = 37
Hence, the present age of women is 37 years and her daughter age is 7.
