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(2a+3b)^2 =20 a.b=1 4a^2+9b2=

(2a+3b)^2 =20 a.b=1 4a^2+9b2=
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(2a+3b)^2 =20 a.b=1 4a^2+9b2=

(2a+3b)^2 =20 a.b=1 4a^2+9b2=-example-1
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User Westdabestdb
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1 Answer

3 votes

the answer is 8

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

a^2 + 2ab + b^2


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

good luck

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User Shikkediel
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