Question

if 2a+3b=7and ab=2find 4a^2+9b^2​

Answer 1

Answer:

hey

Step-by-step explanation:

here it is given 2a+3b=7 and ab=2

now the polynomial given is=4a^2+9b^2​

4a^2+9b^2

=(2a+3b)^2-2×2a×3b

=(7)^2-2×2×3×2

=49-24

=25

Answer 2

Answer:

25

Step-by-step explanation:

2a+3b=7, ab=2

As we have,

(2a+3b)^2=4a^2+9b^2+12ab

So, it is written as,

4a^2+9b^2=(2a+3b)^2-12ab

We have to substitute the given values,

4a^2 +9b^2=7^2-12*2

By simplifying it we get,

=49-24=25