How to represent the expression (6x-7) ^ 2- (4x-2) ^ 2 as a product.
| August 6, 2021 | education
1) First, we factor the expression. Using the formula, factor the expression. The following expression is obtained:
(6 x – 7 – (4 x – 2)) (6 x – 7 + (4 x – 2).
2) Now we open the module. When the “-” sign is in front of the expression in parentheses, then it is necessary to change the sign of each member in parentheses to the opposite when expanding. The following expression is obtained:
(6 x – 7 – 4 x + 2) (6 x – 7 + 4 x – 2).
3) We give similar terms and calculate. It turns out the following:
(2 x – 5) (10 x – 9).
Answer: (2 x – 5) (10 x – 9).
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