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Find the value of ?? satisfying the following equation: 7.2×7.2×7.2+2.8×2.8×2.87.2×7.27.2×2.8+2.8×2.8×313614=?×0.4\frac{7.2 \times 7.2 \times 7.2 + 2.8 \times 2.8 \times 2.8}{7.2 \times 7.2 - 7.2 \times 2.8 + 2.8 \times 2.8} \times \frac{\sqrt{3136}}{14} = ? \times 0.4

Find the value of ?? satisfying the following equation: 7.2×7.2×7.2+2.8×2.8×2.87.2×7.27.2×2.8+2.8×2.8×313614=?×0.4\frac{7.2 \times 7.2 \times 7.2 + 2.8 \times 2.8 \times 2.8}{7.2 \times 7.2 - 7.2 \times 2.8 + 2.8 \times 2.8} \times \frac{\sqrt{3136}}{14} = ? \times 0.4

  1. 100100

  2. 8080

  3. 120120

  4. 160160

  5. 5050

Show answer & explanation

Correct answer

100100

Explanation

1) Using a3+b3a2ab+b2=a+b\frac{a^3 + b^3}{a^2 - ab + b^2} = a + b with a=7.2a = 7.2 and b=2.8b = 2.8, the first fraction simplifies to 7.2+2.8=107.2 + 2.8 = 10. 2) 3136=56\sqrt{3136} = 56. 5614=4\frac{56}{14} = 4. 3) LHS =10×4=40= 10 \times 4 = 40. 4) 40=?×0.4    ?=400.4=10040 = ? \times 0.4 \implies ? = \frac{40}{0.4} = 100.

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