Simplify the following:

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

$(i i) (p + q) (p^{2} - p q + q^{2})$

Open in App

Solution

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

$= 2 a^{3} + 2 a b^{2} + 2 a c^{2} + 3 a^{2} b + 3 b^{3} + 3 b c^{2}$

$(i i) (p + q) (p^{2} - p q + q^{2})$

$= p^{3} - p^{2} q + p q^{2} + q p^{2} - p q^{2} + q^{3}$

$= p^{3} + q^{3}$

Suggest Corrections

Similar questions

(i) (a^{2} + b^{2} + c^{2}) (2 a + 3 b)

(i i) (p + q) (p^{2} - p q + q^{2})

p³+ q³ = ?

Using the identity, simplify the following:

(i) (a + 6)², (ii) (3x + 2y)²; (iii) (2p + 3q)²; (iv) (x² + 5)².

(a^{2} b^{2} c^{3} - a^{2} b^{2} c^{3} + a^{2} b^{2} c^{3}) \div a^{2} b^{2} c^{3}

\frac{a + \sqrt{a^{2} - b^{2}}}{a - \sqrt{a^{2} - b^{2}}} + \frac{a - \sqrt{a^{2} - b^{2}}}{a + \sqrt{a^{2} - b^{2}}}

Join BYJU'S Learning Program