The factor of the given expression 3n² + 15np is 3n(n+5p).
<h3>What is factorization?</h3>
Writing a number or other mathematical object as the result of numerous factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Given that the expression is 3n² + 15np. The factor of the expression will be calculated as,
E = 3n² + 15np
Take 3n common from the expression,
E = 3n ( n + 3p)
Therefore, the factor of the given expression 3n² + 15np is 3n(n+5p).
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Answer:
m∠B = 121
m∠C = 59
Step-by-step explanation:
Angle B:
10(14)-19 = 140-19 = 121
Angle C:
(121)2 = 242
360-242 = 118
118/2 = 59
The GCF of 8x and 40 is 8
40 | 2
20 | 2
10 | 2
5 | 5
1
8 | 2
4 | 2
2 | 2
1
40 = 2³ * 5
8 = 2³
We take only common factors with lowest exponent.
So 2³ = 8
<em>Cole will have to save 9.05 for 5 weeks in order to get the video game.</em>
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How to solve this problem- <em><u>45.25 ÷ 5 = 9.05</u></em>
<em><u /></em>
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<em>bai ^^</em>
Answer:
(5a - [2b - 7c]) and (5a + [2b + 7c])
Step-by-step explanation:
Factor 25a^2 - 4b^2 + 28bc - 49c^2.
Note that - 4b^2 + 28bc - 49c^2 involves the variables b and c, whereas 25a^2 has only one variable. Thus, try to rewrite - 4b^2 + 28bc - 49c^2 as the square of a binomial:
- 4b^2 + 28bc - 49c^2 = -(4b^2 - 28bc + 49c^2), or
-(2b - 7c)^2.
Thus, the original 25a^2 - 4b^2 + 28bc - 49c^2 looks like:
[5a]^2 - [2b - 7c]^2
Recall that a^2 - b^2 is a special product, the product of (a + b) and (a - b). Applying this pattern to the problem at hand, we conclude:
Thus, [5a]^2 - [2b - 7c]^2 has the factors (5a - [2b - 7c]) and (5a + [2b + 7c])
