Question

Find the product of 3x+2 X 3x -5

Answer 1

Answer:

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Step-by-step explanation:

(3x+2).(3x-5)=9x^2+6x-15x-10=9x^2-9x-10

Answer 2

(3x + 2) (3x - 5) = 9x² - 9x - 10

Given :

The expression (3x + 2) (3x - 5)

To find :

The product

Formula :

We are aware of the identity that

$\displaystyle \sf{(y + a)(y + b) = {y}^{2} + (a + b)y + ab }$

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

(3x + 2) (3x - 5)

Step 2 of 2 :

Find the product

We are aware of identity that

$\displaystyle \sf{(y + a)(y + b) = {y}^{2} + (a + b)y + ab }$

We take y = 3x , a = 2 , b = - 5

Thus we get

$\displaystyle \sf{ (3x + 2) (3x - 5) }$

$\displaystyle \sf{ = {(3x)}^{2} + ( 2 - 5)(3x) + ( 2 \times - 5)}$

$\displaystyle \sf{ = 9{x}^{2} + (-3 \times 3x) - 10}$

$\displaystyle \sf{ = 9{x}^{2} - 9x - 10}$

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