If g. C. F(25,15)=4×+1 then ×=......
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Answer:
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Step-by-step explanation:
a(b+c)=ab+aca, left parenthesis, b, plus, c, right parenthesis, equals, a, b, plus, a, c
To understand how to factor out common factors, we must understand the distributive property.
For example, we can use the distributive property to find the product of 3x^23x
2
3, x, squared and 4x+34x+34, x, plus, 3 as shown below:
Notice how each term in the binomial was multiplied by a common factor of \tealD{3x^2}3x
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start color #01a995, 3, x, squared, end color #01a995.
However, because the distributive property is an equality, the reverse of this process is also true!
If we start with 3x^2(4x)+3x^2(3)3x
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(4x)+3x
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(3)3, x, squared, left parenthesis, 4, x, right parenthesis, plus, 3, x, squared, left parenthesis, 3, right parenthesis, we can use the distributive property to factor out \tealD{3x^2}3x
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start color #01a995, 3, x, squared, end color #01a995 and obtain 3x^2(4x+3)3x
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(4x+3)3, x, squared, left parenthesis, 4, x, plus, 3, right parenthesis.
The resulting expression is in factored form because it is written as a product of two polynomials, whereas the original expression is a two-termed sum.