resolve the following into factors 4x2- 4/3x + 1/9
Answers
Answer:
How to solve your problem
4
2
−
1
⋅
4
3
⋅
+
1
9
4x^{2}-1 \cdot \frac{4}{3} \cdot x+\frac{1}{9}
4x2−1⋅34⋅x+91
Simplify
1
Multiply the numbers
4
2
−
1
⋅
4
3
+
1
9
4x^{2}{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{4}{3}}}x+\frac{1}{9}
4x2−1⋅34x+91
4
2
−
4
3
+
1
9
4x^{2}{\color{#c92786}{-\frac{4}{3}}}x+\frac{1}{9}
4x2−34x+91
2
Combine multiplied terms into a single fraction
4
2
−
4
3
+
1
9
4x^{2}-\frac{4}{3}x+\frac{1}{9}
4x2−34x+91
4
2
+
−
4
3
+
1
9
4x^{2}+\frac{-4x}{3}+\frac{1}{9}
4x2+3−4x+91
3
Find common denominator
4
2
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−
4
3
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1
9
4x^{2}+\frac{-4x}{3}+\frac{1}{9}
4x2+3−4x+91
3
⋅
4
2
3
+
−
4
3
+
3
⋅
1
9
3
\frac{3 \cdot 4x^{2}}{3}+\frac{-4x}{3}+\frac{3 \cdot \frac{1}{9}}{3}
33⋅4x2+3−4x+33⋅91
4
Combine fractions with common denominator
3
⋅
4
2
3
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−
4
3
+
3
⋅
1
9
3
\frac{3 \cdot 4x^{2}}{3}+\frac{-4x}{3}+\frac{3 \cdot \frac{1}{9}}{3}
33⋅4x2+3−4x+33⋅91
3
⋅
4
2
−
4
+
3
⋅
1
9
3
\frac{3 \cdot 4x^{2}-4x+3 \cdot \frac{1}{9}}{3}
33⋅4x2−4x+3⋅91
5
Multiply the numbers
3
⋅
4
2
−
4
+
3
⋅
1
9
3
\frac{{\color{#c92786}{3}} \cdot {\color{#c92786}{4}}x^{2}-4x+3 \cdot \frac{1}{9}}{3}
33⋅4x2−4x+3⋅91
1
2
2
−
4
+
3
⋅
1
9
3
\frac{{\color{#c92786}{12}}x^{2}-4x+3 \cdot \frac{1}{9}}{3}
312x2−4x+3⋅91
6
Multiply the numbers
1
2
2
−
4
+
3
⋅
1
9
3
\frac{12x^{2}-4x+{\color{#c92786}{3}} \cdot {\color{#c92786}{\frac{1}{9}}}}{3}
312x2−4x+3⋅91
1
2
2
−
4
+
1
3
3
\frac{12x^{2}-4x+{\color{#c92786}{\frac{1}{3}}}}{3}
312x2−4x+31