Answer:
2/9y(3y−4/7)
Use the distributive property to multiply
9
2
y by 3y−
7
4
.
9
2
y×3y+
9
2
y(−
7
4
)
Multiply y and y to get y
2
.
9
2
y
2
×3+
9
2
y(−
7
4
)
Express
9
2
×3 as a single fraction.
9
2×3
y
2
+
9
2
y(−
7
4
)
Multiply 2 and 3 to get 6.
9
6
y
2
+
9
2
y(−
7
4
)
Reduce the fraction
9
6
to lowest terms by extracting and canceling out 3.
3
2
y
2
+
9
2
y(−
7
4
)
Multiply
9
2
times −
7
4
by multiplying numerator times numerator and denominator times denominator.
3
2
y
2
+
9×7
2(−4)
y
Do the multiplications in the fraction
9×7
2(−4)
.
3
2
y
2
+
63
−8
y
Fraction
63
−8
can be rewritten as −
63
8
by extracting the negative sign.
3
2
y
2
−
63
8
y
Explanation: