Question

Simplify:
[(5z−2)2+40z]÷(5z+2)

Answer 1

Answer:

50z-4

5z+2

Step-by-step explanation:

Answer 2

Answer:

After simplication value of the given term is (5z+2)

Step-by-step explanation:

Given,

$[ {(5z - 2)}^{2} + 40z \div (5z + 2)]$

We want to simplify it,

$\frac{ {(5z - 2)}^{2} + 40z }{(5z + 2)} \\ = \frac{ ({(5z)}^{2} - 2.5z.2 + {2}^{2}) + 40z }{5z + 2} \\ = \frac{25 {z}^{2} - 20z + 4 + 40z}{5z + 2} \\ = \frac{25 {z}^{2} + 20z + 4 }{5z + 2} \\ = \frac{ {(5z)}^{2} + 2.5z.2 + {2}^{2} }{5z + 2} \\ = \frac{ {(5z + 2)}^{2} }{5z + 2} \\ = 5z + 2$

Here applied formula,

${(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2}$

After simplication value of the given term is (5z+2)

This is a problem of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

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2) https://brainly.in/question/1169549