Question

find product (8x+9) ( 5x+9)​

Answer 1

Question:

Find the product of (8x+9) (5x+9).

Solution:

Here we will use the $\sf \green{distributive\ property.}$

$\sf \blue{(8x+9) (5x+9)}$

$\sf \blue{8x (5x+9) + 9 (5x+9)}$

$\sf \blue{40x^{2}+72x + 45x+81}$ [We will add 72x and 45x since they are like terms]

$\boxed {\sf {\purple{40x^{2}+117x+81}}}$

Final answer:

Therefore the product of (8x+9) (5x+9) is 40x²+117x+81

Alternate method:

Use the FOIL method to find the product.

F - First terms

O - Outer terms

I - Inner terms

L - Last terms

So,

(8x+9) (5x+9)

First terms: 8x and 5x

= 40x²

Outer terms: 8x and 9

= 72x

Inner terms: 9 and 5x

= 45x

Last terms: 9 and 9

= 81

So, the new expression formed is as follows:

40x²+72x+45x+81

= $\boxed {\sf {\pink{40x^{2}+117x+81}}}$