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Natasha2012 [34]
3 years ago
15

Simplify: (3a – 4b)(a + b). . A.. 3a2– ab – 4b2. . B.. 3a2 – 7ab – 4b2. . C.. 3a2 – 12ab – 4b2. . D.. 3a2 + ab – 4b2.

Mathematics
1 answer:
-Dominant- [34]3 years ago
3 0
To simplify the expression, we distribute terms accordingly. It is done as follows:

<span>(3a – 4b)(a + b)
3a</span>² + 3ab -4ab -4b²
3a² - ab -4b²

Therefore, the correct answer is option A, <span>3a^2– ab – 4b^2. 

Hope this answers the question. Have a nice day. Please feel free to ask more questions.</span>
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{x}^{3}  + (a + b) {x}^{2}  - 4x + 2 \\  =  {x}^{3}  + 5 {x}^{2}  - (2a - b)x + 2 \\  \\ equating \: like \: terms \: on \: both \: sides \\ (a + b) {x}^{2}  = 5 {x}^{2}   \\  \implies \: a + b = 5.....(1) \\  \\  - (2a - b)x =  - 4x \\ 2a - b = 4....(2) \\  \\ adding \: equations \: (1) \: and \: (2) \\  \\ 3a = 9 \\   \implies \: a =  \frac{9}{3}  \\   \huge \red{ \boxed{\implies \: a = 3}} \\  \\ substituting \: a = 3 \: in \: equation \: (1) \\ 3 + b = 5 \\   \implies \: b = 5 - 3 \\ \huge \purple{ \boxed{ \implies  b = 2}}

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