3. Végezd el a kijelölt műveleteket! $$ \begin{array}{l} ext { a) }-4 \cdot 25+18 \cdot(-4)-3 \cdot(-2+3) ext {; } \ ext { b) }-9 \cdot(-12+20)-3 \cdot(-8+27)-4 \cdot(+25) ext {; } \ ext { c) }(-12+8-7) \cdot(-3+15-4)-(-3+5) \cdot(-2-1) ext {; }\end{array} $$

Question

3. Végezd el a kijelölt műveleteket! $$ \begin{array}{l}	ext { a) }-4 \cdot 25+18 \cdot(-4)-3 \cdot(-2+3) 	ext {; } \ 	ext { b) }-9 \cdot(-12+20)-3 \cdot(-8+27)-4 \cdot(+25) 	ext {; } \ 	ext { c) }(-12+8-7) \cdot(-3+15-4)-(-3+5) \cdot(-2-1) 	ext {; }\end{array} $$

UpStudy AI · Accepted Answer

Calculate the value by following steps:
- step0: Calculate:
  $$-4\times 25+18\left(-4\right)-3\left(-2+3\right)$$
- step1: Add the numbers:
  $$-4\times 25+18\left(-4\right)-3\times 1$$
- step2: Multiply the numbers:
  $$-100+18\left(-4\right)-3\times 1$$
- step3: Multiply the numbers:
  $$-100-72-3\times 1$$
- step4: Multiply:
  $$-100-72-3$$
- step5: Subtract the numbers:
  $$-175$$
Calculate or simplify the expression $$ -9 * (-12 + 20) - 3 * (-8 + 27) - 4 * (+25) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$-9\left(-12+20\right)-3\left(-8+27\right)-4\times 25$$
- step1: Add the numbers:
  $$-9\times 8-3\left(-8+27\right)-4\times 25$$
- step2: Add the numbers:
  $$-9\times 8-3\times 19-4\times 25$$
- step3: Multiply the numbers:
  $$-72-3\times 19-4\times 25$$
- step4: Multiply the numbers:
  $$-72-57-4\times 25$$
- step5: Multiply the numbers:
  $$-72-57-100$$
- step6: Subtract the numbers:
  $$-229$$
Calculate or simplify the expression $$ (-12 + 8 - 7) * (-3 + 15 - 4) - (-3 + 5) * (-2 - 1) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(-12+8-7\right)\left(-3+15-4\right)-\left(-3+5\right)\left(-2-1\right)$$
- step1: Calculate:
  $$\left(-11\right)\left(-3+15-4\right)-\left(-3+5\right)\left(-2-1\right)$$
- step2: Remove the parentheses:
  $$-11\left(-3+15-4\right)-\left(-3+5\right)\left(-2-1\right)$$
- step3: Calculate:
  $$-11\times 8-\left(-3+5\right)\left(-2-1\right)$$
- step4: Add the numbers:
  $$-11\times 8-2\left(-2-1\right)$$
- step5: Subtract the numbers:
  $$-11\times 8-2\left(-3\right)$$
- step6: Multiply the numbers:
  $$-88-2\left(-3\right)$$
- step7: Multiply the numbers:
  $$-88+6$$
- step8: Add the numbers:
  $$-82$$
Itt vannak a kijelölt műveletek eredményei:

a) 
$$
-4 \cdot 25 + 18 \cdot (-4) - 3 \cdot (-2 + 3) = -175
$$

b) 
$$
-9 \cdot (-12 + 20) - 3 \cdot (-8 + 27) - 4 \cdot (+25) = -229
$$

c) 
$$
(-12 + 8 - 7) \cdot (-3 + 15 - 4) - (-3 + 5) \cdot (-2 - 1) = -82
$$

Tehát az eredmények: 
- a) -175
- b) -229
- c) -82
a) -175 b) -229 c) -82

Végezd el a kijelölt műveleteket!

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