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kondor19780726 [428]
3 years ago
10

Factor each of the following expressions. What similarities do you notice between the examples in the left column and those on t

he right? (a) x² − 1 (b) 9x² − 1 (c) x²+8x +15 (d) 4x²+16x +15 (e) x² − y² (f) x⁴ − y⁴
Mathematics
1 answer:
Bumek [7]3 years ago
8 0

Answer:

(a) (x+1)(x-1)

(b)(3x+1)(3x-1)

(c) (x+3)(x+5)

(d)(2x+5)(2x+3)

(e)(x+y)(x-y)

(f) (x^{2}  +y^{2})(x+y)(x-y)

Step-by-step explanation:

We have to factorize the following expressions:

(a) x²-1 =(x+1)(x-1) (Answer) {Since we know the formula (a²-b²) =(a+b)(a-b)}

(b) 9x²-1 =(3x+1)(3x-1) (Answer) {Since we know the formula (a²-b²) =(a+b)(a-b)}

(c) x²+8x+15 = x² +3x+5x+15 =(x+3)(x+5) (Answer)

(d) 4x²+16x+15 =4x²+10x+6x+15 = 2x(2x+5) +3(2x+5) =(2x+5)(2x+3) (Answer)

(e) x²-y² =(x+y)(x-y) (Answer)

(f) x^{4}-y^{4} =(x^{2}   +y^{2})(x^{2}  -y^{2})=(x^{2}  +y^{2})(x+y)(x-y) (Answer) {Since we know the formula (a²-b²) =(a+b)(a-b)}

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Answer:

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Step-by-step explanation:

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2 years ago
A cylinder has a height of 18 millimeters and a radius of 18 millimeters. What is its volume? Use ​ ≈ 3.14 and round your answer
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Answer:

Volume = 18312.48

Step-by-step explanation:

Given

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Required

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3 years ago
Question down below¡
lutik1710 [3]
Pattern A starts with 20 and substracts 3
First number = 20
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Fourth number = 14 - 3 = 11

Pattern B starts with 10 and adds 2
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Now join pattern A and B
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Second combination = (17,12)
Third combination = (14, 14)
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