Simplified form of left -dfrac-5718 times 5718 - 4135 times 4135-5718 - 4135-right - is1683158317831563

Question

Toppr Admin · Accepted Answer

5718-xD7-5718-x2212-4135-xD7-41355718-4135-5718-2-x2212-4135-25718-4135-x2235-a2-x2212-b2-a-b-a-x2212-b-5718-4135-5718-x2212-4135-5718-4135-5718-x2212-4135-1583

Simplified form of $(\frac{5718 \times 5718 - 4135 \times 4135}{5718 + 4135})$ is
$1683$
$1583$
$1783$
$1563$

$\frac{5718 \times 5718 - 4135 \times 4135}{5718 + 4135}$

$= \frac{(5718)^{2} - (4135)^{2}}{5718 + 4135}$

$∵ (a^{2} - b^{2}) = (a + b) + (a - b)$

$= \frac{(5718 + 4135) (5718 - 4135)}{5718 + 4135}$

$= 5718 - 4135$

$= 1583$

Simplified form of (5718×5718−4135×41355718+4135) is1683158317831563

5718×5718−4135×41355718+4135=(5718)2−(4135)25718+4135∵(a2−b2)=(a+b)+(a−b)=(5718+4135)(5718−4135)5718+4135=5718−4135=1583

Simplified form of $(\frac{5718 \times 5718 - 4135 \times 4135}{5718 + 4135})$ is
$1683$
$1583$
$1783$
$1563$

$\frac{5718 \times 5718 - 4135 \times 4135}{5718 + 4135}$

$= \frac{(5718)^{2} - (4135)^{2}}{5718 + 4135}$

$∵ (a^{2} - b^{2}) = (a + b) + (a - b)$

$= \frac{(5718 + 4135) (5718 - 4135)}{5718 + 4135}$

$= 5718 - 4135$

$= 1583$