Factorise 9/16x^2-y/9^2
Answers
Step-by-step explanation:
Step by Step Solution:
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Reformatting the input :
Changes made to your input should not affect the solution:
(1): "y2" was replaced by "y^2".
STEP
1
:
16
Simplify ——
9
Equation at the end of step
1
:
9 16
((——•(x2))-2xy)+(——•y2)
16 9
STEP
2
:
Equation at the end of step 2
9 16y2
((—— • (x2)) - 2xy) + ————
16 9
STEP
3
:
9
Simplify ——
16
Equation at the end of step
3
:
9 16y2
((—— • x2) - 2xy) + ————
16 9
STEP
4
:
Equation at the end of step 4
9x2 16y2
(——— - 2xy) + ————
16 9
STEP
5
:
Rewriting the whole as an Equivalent Fraction
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 16 as the denominator :
2xy 2xy • 16
2xy = ——— = ————————
1 16
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
9x2 - (2xy • 16) 9x2 - 32xy
———————————————— = ——————————
16 16
Equation at the end of step
5
:
(9x2 - 32xy) 16y2
———————————— + ————
16 9
STEP
6
:
STEP
7
:
Pulling out like terms :
7.1 Pull out like factors :
9x2 - 32xy = x • (9x - 32y)
Calculating the Least Common Multiple :
7.2 Find the Least Common Multiple
The left denominator is : 16
The right denominator is : 9