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WINSTONCH [101]
3 years ago
11

Factorise 3ab²+15a²b³+21a³b²​

Mathematics
1 answer:
evablogger [386]3 years ago
5 0

Given:

The expression is

3ab^2+15a^2b^3+21a^3b^2

To find:

The factor form of the given expression.

Solution:

We have,

3ab^2+15a^2b^3+21a^3b^2

Taking out the common factors, we get

3ab^2(1+5ab+7a^2)

It is clear that (1+5ab+7a^2) cannot be factories further.

Therefore, the factorized form of the given expression is 3ab^2(1+5ab+7a^2).

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Use mental math to solve each equation:

1.). - 52 = - 52 + k

Simplify both sides.

- 52 = - 52 + k

Flip Equation:

k - 52 = - 52

Add 52 both sides:

k - 52 + 52 = -52 + 52

k = 0, Answer: K = 0


3.). x - 155 = 15

Add 155 to both sides:

x - 155 + 155 = 15 + 155

x = 170, Answer: 170


5.). 2,000 + y = 9,500

Simplify both sides:

y + 2000 = 9500

Subtract 2000 from both sides:

y + 2000 - 2000 = 9500 - 2000

y = 7500, Answer: 7500 Graph: 7500


7.). 111 + f = 100

Simplify both sides:

f + 111 = 100

Subtract 111 from both sides:

f + 111 - 111 = 100 - 111

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Solve each equations:

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Add 17 to both sides:

m - 17 + 17 = - 8 + 17

m = 9, Answer: m = 9



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Simplify both sides of the equations:

n - 44 = 36

Add 44 to both sides:

n - 44 + 44 = 36 + 44

n = 80, Answer: n = 80



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Add 255 to both sides:

x - 255 + 255 = 671 + 255

x = 926, Answer: x = 926



15.). x + 14 = 21

Subtract 14 from both sides:

x + 14 - 14 = 21 - 14

x = 7, Answer: x = 7



17.). - 19 = k + 9

Flip equation:

K + 9 = - 19

Subtract 9 from both sides:

k + 9 - 9 = - 19 - 9

k = - 28, Answer: k = - 28



19.). 36 + n = 75

Simplify both sides of equation:

n + 36 = 75

Subtract 36 from sides:

n + 36 - 36 = 75 - 36

n = 39, Answer: n = 39



21.). 41 + k = 7

Simplify both sides of equation:

k + 41 = 7

Subtract 41 from both sides:

k + 41 - 41 = 7 - 41

k = - 34, Answer: k = - 34




23.). - 88 + z = 0

Simplify both sides of equation:

z - 88 = 0

Add 88 to both sides:

z - 88 + 88 = 0 + 88

z = 88, Answer: z = 88





Hope that helps!!!! :)


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