(3x+4) (3x-5) use suitable identities to find the product?

Question

Answer

(x+a) (x-b)
=x^2+x (a-b)-ab

(3x+4) (3x-5)
=(3x)^2+ 3x (4 -5)- (4×5)
=9x^2+ 3x (-1)- (20)
=9x^2- 3x- 20

Answer

(3x+4)(3x-5)
inde.(x+a)(x-b)=x²(ab)x+ab
=3x²(4-5)3x+4×(-5)
=9x²-3x-20 solved

Answer

Product of (3x + 4) and (3x - 5)

To find the product of the given expressions, we can use the distributive property and the identity (a + b)(a - b) = a^2 - b^2. Let's break down the process step by step:

Step 1: Identify the given expressions
The given expressions are (3x + 4) and (3x - 5).

Step 2: Apply the distributive property
Using the distributive property, we need to multiply each term in the first expression by each term in the second expression:

(3x + 4)(3x - 5) = 3x * 3x + 3x * (-5) + 4 * 3x + 4 * (-5)

Step 3: Simplify the terms
Multiplying the terms, we get:

9x^2 - 15x + 12x - 20

Step 4: Combine like terms
Combining the like terms, we have:

9x^2 - 3x - 20

Therefore, the product of (3x + 4) and (3x - 5) is 9x^2 - 3x - 20.

Final Answer: 9x^2 - 3x - 20

By following the steps mentioned above, we have successfully found the product of the given expressions using suitable identities.

Answer

(x+a) (x+b)

Answer

(x+a)(x+b)

Answer

Use identity (a+b) (a-b)

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