expansion of (5x-7) (5x-9) by expansion formula
Answers
The expansion fo the terms will give 25x²−80x+63
Step-by-step explanation:
Given:
the two terms are (5x-7) & (5x-9)
To find:
expand using the expansion formula
Solution:
To expand the given terms using the expansion formula
We first open and segregate the first term given in the bracket
= (5x-7) (5x-9)
The first term will be 5x & the second term will be -7
= 5x (5x-9) -7 (5x-9)
Now multiplying the outer terms to the bracket wholly[5x (5x-9)]
= [5x (5x) - 5x (9)] - 7 (5x-9)
= (25x² - 45x) - 7(5x-9)
Doing the same with the second main term [- 7(5x-9)]
= (25x² - 45x) - 35x+63
opening the bracket
= 25x²- 45x- 35x +63
Adding the like terms
= 25x²−80x+63
This can be further solved by factorization
∴ (5x-7) (5x-9) = 25x²−80x+63
Thus, the terms solved by the expansion formula will give 25x²−80x+63
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Answer:
The expansion of (5x - 7)(5x - 9) is 25x² - 80x + 63.
Step-by-step explanation:
Given:-
The expression or polynomial is (5x - 7)(5x - 9).
To find:-
The expansion of (5x - 7)(5x - 9) using the expansion formula.
Step 1 of 1
Consider the given expression as follows:
(5x - 7)(5x - 9)
Using the expansion formula,
Multiply the terms written in the first bracket with the second bracket as follows:
⇒ 5x(5x - 9) - 7(5x - 9)
Now,
Simplify the expression as follows:
⇒ [5x × 5x - 5x × 9] - [7 × 5x - 7 × 9]
⇒ [25x² - 45x] - [35x - 63]
⇒ 25x² - 45x - 35x + 63
Add the like terms as follows:
⇒ 25x² - 80x + 63
Therefore, the expansion of (5x - 7)(5x - 9) is 25x² - 80x + 63.
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