Question

Simply [(5z-2)²+40z/(5z+2)​

Answer 1

Answer:

Step 1

2 • (x + 2y - 5z) - (x - 2y + 5z)

Finally answer is

x + 6y - 15z

Answer 2

SOLUTION

TO SIMPLIFY

$\displaystyle \sf{ \frac{ {(5z - 2)}^{2} + 40z }{(5z + 2)} }$

EVALUATION

$\displaystyle \sf{ \frac{ {(5z - 2)}^{2} + 40z }{(5z + 2)} }$

$\displaystyle \sf{ = \frac{ {(5z )}^{2} - 2 \times 5z \times 2 + {(2)}^{2} + 40z }{(5z + 2)} }$

$\displaystyle \sf{ = \frac{ {(5z )}^{2} - 20z + {(2)}^{2} + 40z }{(5z + 2)} }$

$\displaystyle \sf{ = \frac{ {(5z )}^{2} + 20z + {(2)}^{2} }{(5z + 2)} }$

$\displaystyle \sf{ = \frac{ {(5z )}^{2} + 2 \times 5z \times 2+ {(2)}^{2} }{(5z + 2)} }$

$\displaystyle \sf{ = \frac{ {(5z + 2 )}^{2} }{(5z + 2)} }$

$\displaystyle \sf{ = (5z + 2)}$

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