Factorise 9/16 x^2 - Y^2/9 ?
Answers
Combine multiplied terms into a single fraction
9
1
6
2
−
1
⋅
2
9
\frac{9}{16}x^{2}-1 \cdot \frac{y^{2}}{9}
9
2
1
6
−
1
⋅
2
9
\frac{9x^{2}}{16}-1 \cdot \frac{y^{2}}{9}
2
Find common denominator
9
2
1
6
−
2
9
\frac{9x^{2}}{16}-\frac{y^{2}}{9}
9
⋅
9
2
1
4
4
+
1
6
(
−
2
)
1
4
4
\frac{9 \cdot 9x^{2}}{144}+\frac{16\left(-y^{2}\right)}{144}
3
Combine fractions with common denominator
9
⋅
9
2
1
4
4
+
1
6
(
−
2
)
1
4
4
\frac{9 \cdot 9x^{2}}{144}+\frac{16\left(-y^{2}\right)}{144}
9
⋅
9
2
+
1
6
(
−
2
)
1
4
4
\frac{9 \cdot 9x^{2}+16\left(-y^{2}\right)}{144}
4
Multiply the numbers
9
⋅
9
2
+
1
6
(
−
2
)
1
4
4
\frac{{\color{#c92786}{9}} \cdot {\color{#c92786}{9}}x^{2}+16\left(-y^{2}\right)}{144}
8
1
2
+
1
6
(
−
2
)
1
4
4
\frac{{\color{#c92786}{81}}x^{2}+16\left(-y^{2}\right)}{144}
5
Multiply the numbers
8
1
2
+
1
6
(
−
2
)
1
4
4
\frac{81x^{2}+16\left(-y^{2}\right)}{144}
8
1
2
−
1
6
2
1
4
4