what is the Area :25a²-35+12
Answers
Answer:
25a² - 35 a + 12
25 a² - 15a - 20a +12
5a [ 5a - 3 ] - 4 [ 5a -3 ]
[ 5a - 4 ] [ 5a - 3 ]
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(i) 25a
2
−35a+12
(ii) 24x
2
−15x
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ANSWER
(i) Let us first factorize the given expression 25a
2
−35a+12 as shown below:
25a
2
−35a+12
=25a
2
−15a−20a+12
=5a(5a−3)−4(5a−3)
=(5a−4)(5a−3)
Therefore, the area of the rectangle is (5a−4)(5a−3) and we also know that the area of the rectangle is A=length×breadth.
Hence, the length and breadth can both be (5a−4) or (5a−3).
(ii) Let us first factorize the given expression 24x
2
−15x as shown below:
24x
2
−15x
=x(24x−15)
Therefore, the area of the rectangle is x(24x−15) and we also know that the area of the rectangle is A=length×breadth.
Hence, the length and breadth can both be x or (24x−15).