Advertisements
Advertisements
प्रश्न
Simplify:
(x2 − 2y2) (x + 4y) x2y2
Advertisements
उत्तर
To simplify, we will proceed as follows:
\[\left( x^2 - 2 y^2 \right)\left( x + 4y \right) x^2 y^2 \]
\[ = \left[ x^2 \left( x + 4y \right) - 2 y^2 \left( x + 4y \right) \right] x^2 y^2 \]
\[ = \left( x^3 + 4 x^2 y - 2x y^2 - 8 y^3 \right) x^2 y^2 \]
\[ = x^5 y^2 + 4 x^4 y^3 - 2 x^3 y^4 - 8 x^2 y^5\]
Thus, the answer is \[x^5 y^2 + 4 x^4 y^3 - 2 x^3 y^4 - 8 x^2 y^5\].
संबंधित प्रश्न
Find each of the following product:
−3a2 × 4b4
Find each of the following product: \[\left( \frac{7}{9}a b^2 \right) \times \left( \frac{15}{7}a c^2 b \right) \times \left( - \frac{3}{5} a^2 c \right)\]
Find the product −3y(xy + y2) and find its value for x = 4 and y = 5.
Simplify: a(b − c) + b(c − a) + c(a − b)
Simplify: 2a2 + 3a(1 − 2a3) + a(a + 1)
Multiply:
(0.8a − 0.5b) by (1.5a − 3b)
Simplify:
(2x2 + 3x − 5)(3x2 − 5x + 4)
Show that: (3x + 7)2 − 84x = (3x − 7)2
Show that: (a − b)(a + b) + (b − c)(b + c) + (c − a)( c + a) = 0
Multiply:
(12a + 17b) × 4c
