Using the Identities, simplify the following
$(x y + 3) (x y - 4)$

Open in App

Solution

Step 1 : We need to identify the identity first, the question is in the form of $(x + a) (x + b)$ which is equal to $x^{2} + (a + b) x + a b$
so if we compare the question with the identity we get $x = x y, a = 3 a n d b = - 4$
Step 2 : Applying the formula
$(x y + 3) (x y - 4) = {(x y)}^{2} + (3 - 4) x y + (3 \times (- 4)) = {(x y)}^{2} - x y - 12$
Hence the solution is ${(x y)}^{2} - x y - 12$

Suggest Corrections

Similar questions

Simplify the following : $7 x y + 4 x y - 3 x y - 11 x y + 5 x y - x y$

(x + a) (x + b) = x^{2} + (a + b) x + a b

(x y - 3) (x y - 2)

Simplify the following using the identities : ${(\frac{x}{4} + \frac{5}{y})}^{2}$

Using the identities, simplify the following :

${4 (\frac{2}{3} p - \frac{3}{4} q)}^{2}$

(2 x^{2} y - x y) (3 x y - 5)

Join BYJU'S Learning Program