Simplify −(−4x+5x2)+{−7[−2(−9x2+14x−6)–(8x2–20)]–10x}

Question

Marcus Herman · Accepted Answer

Here we have given  −(−4x+5x2)+{−7[−2(−9x2+14x−6)–(8x2–20)]–10x}  =(4x−5x2)+{−7[18x2−28x+12−8x2+20]−10x}  =(4x−5x2)+{−7[10x2−28x+32]−10x}  =(4x−5x2)+{−70x2+196x+224−10x}  =(4x−5x2)+(−70x2+186x+224)=−75x2+190x+224

William Appel · Accepted Answer

Simplify the following:  −(5x2−4x)−7(−(8x2−20)−2(−9x2+14x−6))−10x  Factor out the greatest common divisor of the coefficients of 8x2−20.  Factor 4 out of 8 x2−20:  −(5x2−4x)−7(−2(−9x2+14x−6)−(4(2x2−5)))−10x  Factor common terms out of 5x2−4x.  Factor x out of 5x2−4x:  −(x(5x−4))−7(−2(−9x2+14x−6)−4(2x2−5))−10x  Distribute -2 over −9x2+14x−6.  −2(−9x2+14x−6)=18x2−28x+12:  −(x(5x−4))−7((18x2−28x+12)−4(2x2−5))−10x  Distribute -4 over 2x2−5.  −4(2x2−5)=−8x2+20:  −(x(5x−4))−7((−8x2+20)+18x2−28x+12)−10x  Group like terms in 18x2−8x2−28x+12+20.  Grouping like terms, 18x2−8x2−28x+12+20=(18x2−8x2)−28x+(12+20):  −(x(5x−4))−7((18x2−8x2)−28x+(12+20))−10x  Combine like terms in 18x2−8x2.

Simplify -(- 4x + 5x^2)+\{-7[-2(-9x^2 + 14x-6)–(8x^2 – 20)] –

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