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Bad White [126]
2 years ago
8

30 points! please help!

Mathematics
2 answers:
Artemon [7]2 years ago
5 0

Answer:

Step-by-step explanation:

stiks02 [169]2 years ago
4 0

Answer:

Therefore

15.

25c^{2}-9

16.

(y+8)(y+1)

17.

(x-3y)(x-7y)

Step-by-step explanation:

15.

(5c^{2} +3)(5c^{2}-3)

Using the Identity (a + b)(a - b) = (a² - b²) we get

Consider here a = 5c and b = 3 then we will have

((5c)^{2} -(3)^{2})=25c^{2}-9    .....as required

16.

y^{2}+9y+8

Here Factorize 8 such that sum up to be 9

∴ 8 × 1  = 8 and 8 + 1 =9

y^{2}+9y+8\\y^{2}+8y+y+8\\y(y+8)+1(y+8)\\(y+8)(y+1) ... as required

17.

x^{2}-10xy+21y^{2}

Here Factorize 21 such that sum up to be -10

∴ -3 × -7  = + 21 and -3 - 7 = - 10

x^{2}-10xy+21y^{2}\\x^{2}-3xy-7xy+21y^{2}\\x(x-3y)-7y(x-3y)\\(x-3y)(x-7y) ........as required

Therefore

15.

25c^{2}-9

16.

(y+8)(y+1)

17.

(x-3y)(x-7y)

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