Question:
Solve:-
32(5x + 4y)² - 50z²
Solution:
32[(5x)² + (4y)² + 2(5x)(4y)] - 50z²
= 32 (25x² + 16y² + 40xy) - 50z²
= 800x² + 512y² + 1280xy − 50z²
Algebraic identity which we have used:
(a + b)² = a² + b² + 2ab
More to Know:
[tex]\begin{gathered}\boxed{\begin{minipage}{7 cm}\boxed{\bigstar\:\:\textbf{\textsf{Algebric\:Identity}}\:\bigstar}\\\\1)\bf\:(A+B)^{2} = A^{2} + 2AB + B^{2}\\\\2)\sf\: (A-B)^{2} = A^{2} - 2AB + B^{2}\\\\3)\bf\: A^{2} - B^{2} = (A+B)(A-B)\\\\4)\sf\: (A+B)^{2} = (A-B)^{2} + 4AB\\\\5)\bf\: (A-B)^{2} = (A+B)^{2} - 4AB\\\\6)\sf\: (A+B)^{3} = A^{3} + 3AB(A+B) + B^{3}\\\\7)\bf\:(A-B)^{3} = A^{3} - 3AB(A-B) + B^{3}\\\\8)\sf\: A^{3} + B^{3} = (A+B)(A^{2} - AB + B^{2})\\\\\end{minipage}}\end{gathered}[/tex]
I have answered this question:
- https://brainly.com/question/20523612
