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Which of the following equivalent form o...

Which of the following equivalent form of the expression `(6-5x) (15x -11)` ?

A

`-75x ^(2) + 35 x -66`

B

`-75 x ^(2) + 145x -66`

C

`90 x^(2)-141x +35`

D

`90x ^(2) +9x +55`

Text Solution

AI Generated Solution

The correct Answer is:
To find an equivalent form of the expression \((6 - 5x)(15x - 11)\), we will use the distributive property (also known as the FOIL method for binomials) to expand the expression step by step. ### Step 1: Distribute the first term of the first bracket Multiply \(6\) by each term in the second bracket: \[ 6 \cdot 15x = 90x \] \[ 6 \cdot (-11) = -66 \] ### Step 2: Distribute the second term of the first bracket Now, multiply \(-5x\) by each term in the second bracket: \[ -5x \cdot 15x = -75x^2 \] \[ -5x \cdot (-11) = 55x \] ### Step 3: Combine all the terms Now, we combine all the results from Steps 1 and 2: \[ -75x^2 + 90x + 55x - 66 \] ### Step 4: Combine like terms Combine the \(x\) terms: \[ 90x + 55x = 145x \] ### Final Expression Putting it all together, we have: \[ -75x^2 + 145x - 66 \] Thus, the equivalent form of the expression \((6 - 5x)(15x - 11)\) is: \[ -75x^2 + 145x - 66 \]
To find an equivalent form of the expression \((6 - 5x)(15x - 11)\), we will use the distributive property (also known as the FOIL method for binomials) to expand the expression step by step. ### Step 1: Distribute the first term of the first bracket Multiply \(6\) by each term in the second bracket: \[ 6 \cdot 15x = 90x \] \[ ...
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Knowledge Check

  • Which of the following is equivalent to the expressions (7x-4)/(x+9) ?

    A
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    B
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    C
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    D
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  • Which of the following is equivalent to the expression x^4-x^3-x^2 ?

    A
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    B
    `x(x-x^2-x^3)`
    C
    `x(x^3-x^2)`
    D
    `x^2(x^2-x-1)`

  • root(5)(x^(15)y^(3b)) For all positive value of x and y, which of the following is an equivalent form of the expression above?

    A
    `x^(3)y^((3b)/(5))`
    B
    `x^(-10)y^(-2b)`
    C
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    D
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