Simplify: $(2 a + 3 b) (a - b)$

(2 a + 3 b) (a - b) = 2 a^{2} + a b - 3 b^{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(2 a + 3 b) (a - b) = 2 a^{2} - a b - 3 b^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(2 a + 3 b) (a - b) = 2 a^{2} - 3 b^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(2 a + 3 b) (a - b) = 2 a^{2} + 3 b^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $(2 a + 3 b) (a - b) = 2 a^{2} + a b - 3 b^{2}$
LHS $= (2 a + 3 b) (a - b)$
$= 2 a (a - b) + 3 b (a - b)$
$= 2 a \times a - 2 a \times b + 3 b \times a - 3 b \times b$
$= 2 a^{2} - 2 a b + 3 a b - 3 b^{2}$
$= 2 a^{2} + a b - 3 b^{2}$
Thus, $(2 a + 3 b) (a - b) \neq 2 a^{2} - 3 b^{2}$ , but $(2 a + 3 b) (a - b) = 2 a^{2} + a b - 3 b^{2}$ is the correct statement.

Suggest Corrections

Similar questions

Find and correct the errors in the statement: (2a + 3b) (a − b) = 2a² − 3b²

(2 a + 3 b) (a - b) = 2 a^{2} - 3 b^{2}

(2 a + 3 b) (a - b) = 2 a^{2} - 3 b^{2}

(2 a + 3 b) (a - b) = 2 a^{2} - 3 b^{2}

Identify if the following equations are true or not:

$i) (2 a + 3 b) (a - b) = 2 a^{2} - 3 b^{2}$

$i i) (x + 5)^{2} = x^{2} + 25$ [4 MARKS]

Join BYJU'S Learning Program