Factorize 2√2a^3 + 3√3b^3 + c^3 – 3√6abc Factorize the following expression : \( 2\sqrt{2}a^3 + 3\sqrt{3}b^3 + c^3 – 3\sqrt{6}abc \) \[ 2\sqrt{2}a^3 + 3\sqrt{3}b^3 + c^3 – 3\sqrt{6}abc \] \[ = (\sqrt{2}a)^3 + (\sqrt{3}b)^3 + c^3 – 3(\sqrt{2}a)(\sqrt{3}b)(c) \] \[ = (\sqrt{2}a + \sqrt{3}b + c) \] \[ \times \left[ 2a^2 + 3b^2 […]
Factorize the following expression : 2√2a^3 + 3√3b^3 + c^3 – 3√6abc Read More »
Multiply (4x^2 + y^2 + 9z^2 + 2xy + 3yz – 6xz) by (2x – y + 3z) Multiply : \( (4x^2 + y^2 + 9z^2 + 2xy + 3yz – 6xz) \) by \( (2x – y + 3z) \) \[ (4x^2 + y^2 + 9z^2 + 2xy + 3yz – 6xz)(2x – y
Multiply : (4x^2 + y^2 + 9z^2 + 2xy + 3yz – 6xz) by (2x – y + 3z) Read More »
Multiply (x^2 + 4y^2 + z^2 + 2xy + xz – 2yz) by (-z + x – 2y) Multiply : \( (x^2 + 4y^2 + z^2 + 2xy + xz – 2yz) \) by \( (-z + x – 2y) \) \[ (x^2 + 4y^2 + z^2 + 2xy + xz – 2yz)(-z + x
Multiply : (x^2 + 4y^2 + z^2 + 2xy + xz – 2yz) by (-z + x – 2y) Read More »
Multiply (9x^2 + 25y^2 + 15xy + 12x – 20y + 16) by (3x – 5y + 4) Multiply : \( (9x^2 + 25y^2 + 15xy + 12x – 20y + 16) \) by \( (3x – 5y + 4) \) \[ (9x^2 + 25y^2 + 15xy + 12x – 20y + 16)(3x – 5y
Multiply : (9x^2 + 25y^2 + 15xy + 12x – 20y + 16) by (3x – 5y + 4) Read More »
Multiply (x^2 + 4y^2 + 2xy – 3x + 6y + 9) by (x – 2y + 3) Multiply : \( (x^2 + 4y^2 + 2xy – 3x + 6y + 9) \) by \( (x – 2y + 3) \) \[ (x^2 + 4y^2 + 2xy – 3x + 6y + 9)(x – 2y
Multiply : (x^2 + 4y^2 + 2xy – 3x + 6y + 9) by (x – 2y + 3) Read More »
Multiply (x^2 + 4y^2 + z^2 + 2xy + xz – 2yz) by (x – 2y – z) Multiply : \( (x^2 + 4y^2 + z^2 + 2xy + xz – 2yz) \) by \( (x – 2y – z) \) \[ (x^2 + 4y^2 + z^2 + 2xy + xz – 2yz)(x – 2y
Multiply : (x^2 + 4y^2 + z^2 + 2xy + xz – 2yz) by (x – 2y – z) Read More »
Multiply (x^2 + y^2 + z^2 – xy + xz + yz) by (x + y – z) Multiply : \( (x^2 + y^2 + z^2 – xy + xz + yz) \) by \( (x + y – z) \) \[ (x^2 + y^2 + z^2 – xy + xz + yz)(x + y
Multiply : (x^2 + y^2 + z^2 – xy + xz + yz) by (x + y – z) Read More »
Factorize 8x^3 – 125y^3 + 180xy + 216 Factorize the following expression : \( 8x^3 – 125y^3 + 180xy + 216 \) \[ 8x^3 – 125y^3 + 180xy + 216 \] \[ = (2x)^3 + (-5y)^3 + 6^3 – 3(2x)(-5y)(6) \] \[ = (2x – 5y + 6) \left[ 4x^2 + 25y^2 + 36 +
Factorize the following expression : 8x^3 – 125y^3 + 180xy + 216 Read More »
Factorize 125 + 8x^3 – 27y^3 + 90xy Factorize the following expression : \( 125 + 8x^3 – 27y^3 + 90xy \) \[ 125 + 8x^3 – 27y^3 + 90xy \] \[ = 5^3 + (2x)^3 + (-3y)^3 – 3(5)(2x)(-3y) \] \[ = (5 + 2x – 3y) \left[ 25 + 4x^2 + 9y^2 –
Factorize the following expression : 125 + 8x^3 – 27y^3 + 90xy Read More »
Factorize 1/27x^3 – y^3 + 125z^3 + 5xyz Factorize the following expression : \( \frac{1}{27}x^3 – y^3 + 125z^3 + 5xyz \) \[ \frac{1}{27}x^3 – y^3 + 125z^3 + 5xyz \] \[ = \left(\frac{x}{3}\right)^3 + (-y)^3 + (5z)^3 – 3\left(\frac{x}{3}\right)(-y)(5z) \] \[ = \left(\frac{x}{3} – y + 5z\right) \left[ \frac{x^2}{9} + y^2 + 25z^2 +
Factorize the following expression : 1/27x^3 – y^3 + 125z^3 + 5xyz Read More »