Question

16x^2+9y^2-24xy+24x-18y+9​

Answer 1

Given:

16x²+9y²-24xy-24x-18y+9

To Find:

simplify the given equation

Solution:

16x²+9y²-24xy

= (4x)²+(3y)²-2(4x)(3y)=(4x-3y)²

= $\sqrt{16x^{2} +9y^{2}-24xy+24x-18y+9 }$

= $\sqrt{(4x-3y)^{2}+6(4x-3y)+3^{2} }$

= $\sqrt{(4x-3y)^{2}+2(3)(4x-3y)+3^{2} }$

= $\sqrt{4x-3y+3}^{2}$

= 4x-3y+3

Answer 2

Square root of  16x²+9y²-24xy+24x-18y+9​  is | 4x - 3y + 3 |

Given:

• 16x²+9y²-24xy+24x-18y+9​

To Find:

• Square root

Solution:

• √x²  = | x |
• (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac

16x²+9y²-24xy+24x-18y+9​

Step 1:

Rewrite the term

(4x)² + (-3y)² + 2(4x)(-3y) + 2(4x)3 + 2(-3y)(3)  + 3²

Step 2:

Rearrange the terms

(4x)² + (-3y)² + 3²  + 2(4x)(-3y) + 2(-3y)(3)   + 2(4x)3

Step 3:

Use (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac  

where a= 4x , b = -3y  and c = 3

(4x-3y + 3)²  

Step 4:

Taking Square root and using √a²  = | a |

| 4x - 3y + 3 |

Hence, Square root of  16x²+9y²-24xy+24x-18y+9​  is | 4x - 3y + 3 |

(Although you Question is incomplete , complete question would be

Find the square  root of   16x²+9y²-24xy+24x-18y+9)