If 2 a -3 b -8 then express 3 b 2-2 b -3 in terms of a-A- 2 a 2-20 a -48B- 4 a2-20 a-57C- 5 a2-20 a-51D- a2-5 a-16

The correct option is B 4a2 20a + 57 2a + 3b = 8 b=8 2a/3 3b^2 2b+3 3 ( 8 2a/3 )^2 2 ( 8 2a/3 )+3 3 ( 64+4a^2 32a/9 ) 2(8 2a)/3+3 64+4a^2 32a/3 28 2a/ ...

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Byju's Answer

Standard IX

Mathematics

Visualisation of (X+A)(X+B)

If 2 a +3 b =...

Question

If 2a + 3b = 8 then express $3 b^{2} - 2 b + 3$ in terms of a.

2a² - 20a + 48

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4a² - 20a + 57

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5a² - 20a + 51

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a² + 5a + 16

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Solution

The correct option is B
4a² - 20a + 57

$2 a + 3 b = 8 b = \frac{8 - 2 a}{3} 3 b^{2} - 2 b + 3 3 {(\frac{8 - 2 a}{3})}^{2} - 2 (\frac{8 - 2 a}{3}) + 3 3 (\frac{64 + 4 a^{2} - 32 a}{9}) - 2 \frac{(8 - 2 a)}{3} + 3 \frac{64 + 4 a^{2} - 32 a}{3} - 2 \frac{8 - 2 a}{3} + 3 4 a^{2} - 20 a + 57$

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If 2a + 3b = 8 then express 3b2–2b+3 in terms of a.

The correct option is B 4a2 - 20a + 57 2a+3b=8b=8−2a33b2−2b+33(8−2a3)2−2(8−2a3)+33(64+4a2−32a9)−2(8−2a)3+364+4a2−32a3−28−2a3+34a2−20a+57

If 2a + 3b = 8 then express $3 b^{2} - 2 b + 3$ in terms of a.

The correct option is B
4a² - 20a + 57

$2 a + 3 b = 8 b = \frac{8 - 2 a}{3} 3 b^{2} - 2 b + 3 3 {(\frac{8 - 2 a}{3})}^{2} - 2 (\frac{8 - 2 a}{3}) + 3 3 (\frac{64 + 4 a^{2} - 32 a}{9}) - 2 \frac{(8 - 2 a)}{3} + 3 \frac{64 + 4 a^{2} - 32 a}{3} - 2 \frac{8 - 2 a}{3} + 3 4 a^{2} - 20 a + 57$