Factor (5a–3b)^2–25a^2 PLS HELP 50 POINTS
2 answers:
Answer:
(-3b) (10a -3b)
Step-by-step explanation:
(5a–3b)^2–25a^2
Replace (5a–3b) with x
x^2 - (5a) ^2
We have the difference of squares
( x-5a) (x+5a)
Now replace x with (5a -3b)
(5a -3b -5a) ( 5a -3b +5a)
Combine like terms
(-3b) (10a -3b)
Answer:
(5a-3b)²-25a²
= 25a²+9b²-2×5a×3b-25a { (a-b)²= a²+b²-2ab}
=9b²-30ab
=3b(3b-10a)
= -3b(10a-3b)
Ans
Hope, it helped!
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