Math, asked by angelmusfira46, 2 days ago

find the product of

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Answers

Answered by sumanlata6684
0

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

3 2 (2•(b2)) q

((—•b)+——)•((————————+————)-1)

2 3b 4 32b2

STEP

2

:

q

Simplify ————

32b2

Equation at the end of step

2

:

3 2 (2•(b2)) q

((—•b)+——)•((————————+———)-1)

2 3b 4 9b2

STEP

3

:

Equation at the end of step

3

:

3 2 2b2 q

((—•b)+——)•((———+———)-1)

2 3b 4 9b2

STEP

4

:

2b2

Simplify ———

4

Dividing exponents:

4.1 21 divided by 22 = 2(1 - 2) = 2(-1) = 1/21 = 1/2

Equation at the end of step

4

:

3 2 b2 q

((—•b)+——)•((——+———)-1)

6.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 18b2 as the denominator :

1 1 • 18b2

1 = — = ————————

1 18b2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

6.2 Adding up the two equivalent fractions

(9b4+2q) - (18b2) 9b4 - 18b2 + 2q

————————————————— = ———————————————

18b2 18b2

Equation at the end of step

6

:

3 2 (9b4-18b2+2q)

((—•b)+——)•—————————————

2 3b 18b2

STEP

7

:

2

Simplify ——

3b

Equation at the end of step

7

:

3 2 (9b4 - 18b2 + 2q)

((— • b) + ——) • —————————————————

2 3b 18b2

STEP

8

:

3

Simplify —

2

Equation at the end of step

8

:

3 2 (9b4 - 18b2 + 2q)

((— • b) + ——) • —————————————————

2 3b 18b2

STEP

9

:

Calculating the Least Common Multiple :

9.1 Find the Least Common Multiple

The left denominator is : 2

The right denominator is : 3b

2 3b 2 9b2

Equation at the end of step

5

:

3 2 (9b4+2q)

((—•b)+——)•(————————-1)

2 3b 18b2

Equation at the end of step

9

:

(9b2 + 4) (9b4 - 18b2 + 2q)

————————— • —————————————————

6b 18b2

STEP

10

:

Polynomial Roots Calculator :

10.1 Find roots (zeroes) of : F(b) = 9b2+4

Polynomial Roots Calculator is a set of methods aimed at finding values of b for which F(b)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers b which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 9 and the Trailing Constant is 4.

The factor(s) are:

of the Leading Coefficient : 1,3 ,9

of the Trailing Constant : 1 ,2 ,4

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 13.00

-1 3 -0.33 5.00

-1 9 -0.11 4.11

-2 1 -2.00 40.00

-2 3 -0.67 8.00

Note - For tidiness, printing of 13 checks which found no root was suppressed

Polynomial Roots Calculator found no rational roots

Trying to factor a multi variable polynomial :

10.2 Factoring 9b4 - 18b2 + 2q

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Multiplying exponential expressions :

10.3 b1 multiplied by b2 = b(1 + 2) = b3

Final result :

(9b2 + 4) • (9b4 + 18b2 + 2q)

—————————————————————————————

108b3

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