Question

IF
${a}^{2} + {b}^{2} = 9 \: and \: ab = 4.|$
FIND THE VALUE OF
$3 {(a + b)}^{2} - 2 {(a - b)}^{2}$
NOT SPAM PLEASE ​

Answer 1

Step-by-step explanation:

a^2+b^2=9 ,ab=4

3(a+b)^2-2(a-b)^2

=3[a^2+2ab+b^2]-2[a^2-2ab+b^2]

=3a^2+6ab+3b^2-2a^2+4ab-2b^2

=a^2+10ab+b^2

=(a^2+b^2)+10ab

=(9)+10(4)

=9+40

=49