Advertisements
Advertisements
प्रश्न
Factorize 8x2 + y3 +12x2 y + 6xy2
Advertisements
उत्तर
8x2 + y3 +12x2 y + 6xy2
= (2x)3 + y3 + 3 × (2x)2 × y + 3(2x) × y2
= (2x + y )3 [ ∵ a3 + b3 + 3a2b + 3ab2 = (a + b)3 ]
= (2x + y)(2x + y )(2x + y )
∴ 8x3 + y3 +12x2 y + 6xy2 = (2x + y )(2x + y )(2x + y)
APPEARS IN
संबंधित प्रश्न
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
One-half of the sum of numbers x and y.
Factorize `9(2a - b)^2 - 4(2a - b) - 13`
Factorize 125x3 - 27 y3 - 225x2 y +135xy2
Find the value of the following expression: 16x2 + 24x + 9, when \[x = \frac{7}{4}\]
Simplify : \[\frac{1 . 2 \times 1 . 2 \times 1 . 2 - 0 . 2 \times 0 . 2 \times 0 . 2}{1 . 2 \times 1 . 2 + 1 . 2 \times 0 . 2 + 0 . 2 \times 0 . 2}\]
Write the value of 253 − 753 + 503.
Factorize: x4 + x2 + 25.
If 3x = a + b + c, then the value of (x − a)3 + (x −b)3 + (x − c)3 − 3(x − a) (x − b) (x −c) is
Write the variables, constant and terms of the following expression
b + 2
An algebraic statement which is equivalent to the verbal statement “Three times the sum of ‘x’ and ‘y’ is
