3 x²-4xy+y²=0 factorize
1 answer:
The factorization will be (x-y)*(3x-y) .
Factorization : Factorization is a method of breaking the arithmetic algebraic expressions into the product of their factors. If we multiply the factors again, then they will result in original expression. The given question is a quadratic equation . Therefore we'll get two parts on breaking and 2 roots .
Factorizing : 3 x²-4xy+y²
Splitting term -4xy into - 3xy and -xy
3 - 3xy -xy +
Taking common from first two and last two terms ,
3x (x-y) + y(-x+y)
Taking minus common from last term ,
3x(x-y) - y(x-y)
Again taking common
(x-y) * (3x-y)
Hence , the factorization will be 3 x²-4xy+y² = (x-y) * (3x-y) .
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Answer:
option B
Step-by-step explanation:
Given :
Step 1 : simplify the equation :
Step 2: Arrange the terms :
Step 3 : Solve for x and y :
2x - 3y = - 9 ------ ( 1 )
5x - 2y = - 7 --------- ( 2 )
_____________________
( 1 ) x 5 => 10x - 15y = - 45 ---------- (3 )
( 2) x 2 => 10x - 4y = - 14 ----------- (4 )
_______________________
( 3 ) - ( 4 ) => 0x - 11y = - 31
- 11 y = - 31
Substitute y in ( 1 ) :
2x - 3y = - 9
Therefore the solution to the sytem is
The solution of the system of equation is a point which lies
on the both the lines.
Option A : False , It says the solution lies above one of the given line.
But the solution of the system of equation always lies on
both the line.
Option B : True , says the solution is a point on the coordinate plane.
Option C : False, because if the solution is on the x-axis , then
the y coordinate in the solution would be zero.
But it is not zero.
Option D : False , the solution is the point where both the lines intersect.
Answer:
Step-by-step explanation:
Use the Distributive Property to get the above answer.
* All you need to know is that according to the Product-to-Power Exponential Rule, whenever you multiply similar bases, you keep the base and add the exponents.
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Answer:
3/8
Step-by-step explanation:
The equation is given as:
We can simply the equation by getting rid of the denominators which is 4a and 3. Therefore we can multiply both sides with 3*4*a:
On the left hand side 4a cancels with 4a and on the right hand side 3 cancels with 3. We are left with:
∴ After simplying