Question

give me plz these question below to class 9th​

Answer 1

Given thαt,

• Areα of rectαngle is 25α² - 35α + 12.

☯️ We need to find the possible expression for length & breadth.

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To do so,

Let's factorise the expression.

• Use identity (x+α)(x+b) = $\displaystyle{\boxed{\sf{\orange{x^{2} + (a+b)x + ab}}}}$

:$\implies{\sf{25a^{2} - 35a + 12}}$

• Split the middle term that their sum or difference is 35 and product is 25*12 = 300.

:$\implies{\sf{(5a)^{2} - 15a - 20a + 12}}$

• Simplify.

:$\implies{\sf{(5a)^{2} - (3 + 4)5a + (3\times 4)}}$

:$\large\implies{\boxed{\sf{\red{(5a-4)(5a-3)}}}}$

Therefore, the two possibilities are (5α-4) and (5α-3).

And we αre done! :D

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