Answer :

Let’s consider the ratio of two number is

Suppose P = 4 a and Q = 5 a and LCM of these two number is 20 a

According to the question LCM of these two number = 220

20 a = 220

⇒ a = 11

So the first no. is P = 11×4 and Q = 11×5

P = 44 and Q = 55

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Factorize:

x^{3} – 2x^{2}y + 3xy^{2} – 6y^{3}

Find the value of a for which the polynomial is divisible by (x+3).

RS Aggarwal & V Aggarwal - MathematicsFactorize:

a^{2} + a – 3a^{2} - 3

Factorize:

2a(x + y) -3b(x + y)

RS Aggarwal & V Aggarwal - MathematicsFactorize:

8 – 4a – 2a^{3} + a^{4}

If 𝑎 + 𝑏 + 𝑐 = 9 and 𝑎𝑏 + 𝑏𝑐 + 𝑐𝑎 = 26, find 𝑎^{2} + 𝑏^{2} + 𝑐^{2}.

In each of the following, use factor theorem to find whether polynomial *g*(*x*) is a factor of polynomial *f*(*x*) or, not:

*f*(*x*) = *x*^{3}-6*x*^{2}+11*x*-6, *g*(*x*) = *x*-3

Show that p – 1 is a factor of p^{10} – 1 and also of p^{11} – 1.

Factorize:

a^{2} + ab(b + 1) + b^{3}