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3 years ago

(1/2a - 2/3b) ( 3/5a + 2/3b) multiply the following

Mathematics

1 answer:

11111nata11111 [884]3 years ago

8 0

Answer:

Step-by-step explanation:

$(\dfrac{1}{2}a-\dfrac{2}{3}b)(\dfrac{3}{5}a+\dfrac{2}{3}b)=\dfrac{1}{2}a*(\dfrac{3}{5}a+\dfrac{2}{3}b) - \dfrac{2}{3}b*(\dfrac{3}{5}a+\dfrac{2}{3}b) \\\\\\= \dfrac{1}{2}a*\dfrac{3}{5}a + (\dfrac{1}{2}a*\dfrac{2}{3}b) - \dfrac{2}{3}b*\dfrac{3}{5}a- \dfrac{2}{3}b*\dfrac{2}{3}b\\\\\\=\dfrac{3}{10}a^{2} + \dfrac{1}{3}ab - \dfrac{2}{5}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2} +\dfrac{1*5}{3*5}ab-\dfrac{2*3}{5*3}-\dfrac{4}{9}b^{2}\\\\\\$

$=\dfrac{3}{10}a^{2}+\dfrac{5}{15}ab-\dfrac{6}{15}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2}-\dfrac{1}{15}-\dfrac{4}{9}b^{2}$

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We were given that the axis of symmetry of the quadratic equation is
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Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,

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(1/2a - 2/3b) ( 3/5a + 2/3b) multiply the following ​

(1/2a - 2/3b) ( 3/5a + 2/3b) multiply the following