Math, asked by anushka7949, 6 months ago

6. (x+3)(x – 3)-40 factorise it with difference of two sq.​

Answers

Answered by priya4659
0

Answer: Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (x-3)*(x+3)-(40)=0  

Step by step solution :

STEP

1

:

Equation at the end of step 1

 (x - 3) • (x + 3) -  40  = 0  

STEP

2

:

Trying to factor as a Difference of Squares

2.1      Factoring:  x2-49  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 49 is the square of 7

Check :  x2  is the square of  x1  

Factorization is :       (x + 7)  •  (x - 7)  

Equation at the end of step

2

:

 (x + 7) • (x - 7)  = 0  

STEP

3

:

Theory - Roots of a product

3.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

3.2      Solve  :    x+7 = 0  

Subtract  7  from both sides of the equation :  

                     x = -7

Solving a Single Variable Equation:

3.3      Solve  :    x-7 = 0  

Add  7  to both sides of the equation :  

                     x = 7

Two solutions were found :

x = 7

x = -7

Answered by tanishquatrivedi
0

Answer:

using (a^2)-(b^2) = (a-b)(a+b) ...identity

Step-by-step explanation:

so.,

x^2 -9 -40

x^2-49

...answer=x-7.. and x+7

.

so by taking this equation as p(x)=x-7 or x+7

x-7=0. x+7=0

x=7. x=-7

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