brunolupen190705 brunolupen190705
  • 17-02-2019
  • Mathematics
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(2a+3b)^2 =20 a.b=1 4a^2+9b2=

2a3b2 20 ab1 4a29b2 class=

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SINAZEUS
SINAZEUS SINAZEUS
  • 17-02-2019

the answer is 8

we know that (a . b)^2 is equal to

a^2 + 2ab + b^2

[tex](2a + 3b) {}^{2} = 20 \\ 4a {}^{2} + 12ab + 9b {}^{2} = 20 \\ (ab = 1) \: \: \: = = > 4a {}^{2} + 9b {}^{2} = 8[/tex]

good luck

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