Questions: Multiply. (4x + 7)(4x + 6u - 3) Simplify your answer:

Multiply.  
(4x + 7)(4x + 6u - 3)  

Simplify your answer:
Transcript text: Multiply. \[ (4 x+7)(4 x+6 u-3) \] Simplify your answer:
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Solution

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△ Multiply and simplify the expression \((4x+7)(4x+6u-3)\). ○ Apply distributive property ☼ Multiply each term in the first parenthesis by each term in the second parenthesis: \[ \begin{array}{c} 4x \times 4x = 16x^2 \\ 4x \times 6u = 24xu \\ 4x \times -3 = -12x \\ 7 \times 4x = 28x \\ 7 \times 6u = 42u \\ 7 \times -3 = -21 \\ \end{array} \] Combine these products: \(16x^2 + 24xu - 12x + 28x + 42u - 21\). ○ Combine like terms ☼ Combine \(-12x\) and \(28x\) to get \(16x\). The simplified expression is \(16x^2 + 24xu + 16x + 42u - 21\). ✧ The simplified expression is \(16x^2 + 24xu + 16x + 42u - 21\). ☺ The simplified expression is $16x^2 + 24xu + 16x + 42u - 21$.

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