Question

Let A = 3x^2 - 5x + 7, B = 24 - 8x^2 + 9, C = 7 + 5x^2
– 3x
Find : (a) A + B - C, (b) A - 2B + C, (c) A + B + 3C
​

Answer 1

Answer:

$a \: = 3x {}^{2} - 5x + 7$

$b = 24 - 8 {x}^{2} + 9$

$c = 7 + 5x {}^{2} - 3x$

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A) A + B + C

$3x {}^{2} - 5x + 7 + 24 - 8x {}^{2} + 9 + 7 + 5x {}^{2} - 3x$

$3x {}^{2} + 5x {}^{2} - 8x {}^{2} - 5x - 3x + 7 + 9 + 7 + 24$

$0x {}^{2} - 8x + 47$

$= \: - 8x + 47$

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A - 2B + C

$3x {}^{2} - 5x + 7 - 2(24 - 8x {}^{2} + 9) + 7 + x ^{2} - 3x$

$3x {}^{2} - 5x + 7 - 48 - 16x {}^{2} + 18 + 7 + 5x {}^{2} - 3x$

$8x {}^{2} - 8x - 16$

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A + B + 3C

$3x {}^{2} { - 5}x + 7 + 24 - 8x {}^{2} + 9 + 3(7 + 5x {}^{2} - 3x)$

$3x {}^{2} - 5x + 7 + 24 - 8x {}^{2} + 9 + 21 + 15x {}^{2} - 9x$

$10x {}^{2} - 14x + 61$

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