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Andreyy89
2 years ago
12

What is the simplest form of this expression? (x + 7)(3x − 8) A. 3x2 + 2x − 15 B. 3x2 + 29x − 1 C. 3x2 − 29x − 56 D. 3x2 + 13x –

56
Mathematics
2 answers:
shepuryov [24]2 years ago
4 0

Answer:

\boxed{\sf D. \ 3 {x}^{2}  + 13x - 56}

Step-by-step explanation:

\sf Expand  \: the  \: following: \\  \sf \implies (x + 7)(3x - 8) \\  \\ \sf \implies x(3x - 8) + 7(3x - 8) \\  \\ \sf \implies (x)(3x) - (x)(8) + (7)(3x) - (7)(8) \\  \\ \sf (x)(3x) = 3 {x}^{2}  :  \\ \sf \implies  \boxed{ \sf 3 {x}^{2}}  - 8x + (7)(3x) - (7)(8) \\  \\ \sf 7 \times 3 = 21 :  \\ \sf \implies 3 {x}^{2}  - 8x +  \boxed{ \sf 21}x - (7)(8) \\  \\ \sf 7 \times 8 = 56 :  \\\sf \implies 3 {x}^{2}  - 8x + 21x -  \boxed{ \sf 56} \\  \\ \sf   21x - 8x = 13x :  \\ \sf \implies 3 {x}^{2}  + 13x - 56

Lorico [155]2 years ago
3 0

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>D. 3x² + 13x - 56</em>

▹ Step-by-Step Explanation

(x + 7)(3x - 8) (<em>Using FOIL method)</em>

x * 3x - 8x + 7 * 3x - 7 * 8

3x² - 8x + 7 * 3x - 7 * 8

3x² - 8x + 21x - 56

3x² + 13x - 56

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

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