(7x - 10)(x + 1)
To factor the expression ( 7X^3 + 49X^2 + 84X ), first, identify the greatest common factor (GCF) of the terms, which is ( 7X ). Factoring out ( 7X ) gives ( 7X(X^2 + 7X + 12) ). Next, you can further factor the quadratic ( X^2 + 7X + 12 ) into ( (X + 3)(X + 4) ). Thus, the fully factored form is ( 7X(X + 3)(X + 4) ).
(7x + 8)(7x - 9)
7x + 7 = 7(x + 1)
(3b + 7x)(3b + 7x) or (3b + 7x)2
You would factor 2x2 + 7x + 6 into (2x + 3) (x+2)
Since 7x is a factor of 14xy, it is automatically the GCF.
(7x + 8)(7x - 8)
(7x + 8)(7x - 9)
(7x - 22)(7x + 22)
-67
7x + 7 = 7(x + 1)
(3b + 7x)(3b + 7x) or (3b + 7x)2
-3
It appears there might be some confusion in your notation or expression. To factor 7x - 14x, you can first factor out the common factor, which is 7x. Here's how you do it: 7x - 14x = 7x(1 - 2) Now, the common factor of 7x has been factored out, and you're left with 1 - 2 inside the parentheses. So, the expression 7x - 14x can be simplified to: 7x(1 - 2) Now, it's clear that the width of Yun's area model is 1 - 2, which is equal to -1. So, the width of Yun's area model is -1.
Factoring requires you to reduce as much as possible. To factor 7x + 49, you remove the common factor of 7x and 49, which is 7, and multiply (7x + 49)/7 (which is x + 7) by 7, without actually simplifying. 7x + 49 = 7(x + 7) Then, if possible, do the same thing until it cannot be further factored.
If that's +7x - 6, the answer is (x + 3)(3x - 2)
You would factor 2x2 + 7x + 6 into (2x + 3) (x+2)