Question

विस्तार करा: (7m - 3n - 4k)²

Answer 1

विस्तार:

${(a + b + c)}^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2bc + 2ca$

${(7m - 3n - 4k)}^{2} = \\ \\ {(7m)}^{2} + {( - 3n)}^{2} + {( - 4k)}^{2} + 2(7m)( - 3n) \\ \\ + 2( - 3n)( - 4k) + 2( - 4k)(7m) \\ \\ = 49 {m}^{2} + 9 {n}^{2} + 16 {k}^{2} - 42mn + 24nk - 56km$
${(7m - 3n - 4k)}^{2} = 49 {m}^{2} + 9 {n}^{2} + 16 {k}^{2} - 42mn + 24nk - 56km$

Answer 2

Answer:

49m²+ 9n²+16k²- 42mn+ 24nk- 56mk.

Step-by-step explanation:

formula-

(a+b+c)²= a²+b²+c²+2ab+2bc+2ca

here, a=7m

b= -3n

c= -4k

(7m-3n-4k)²= (7m)²+(-3n)²+(-4k)²+2*7m*(-3n)+2*(-3n)*(-4k)+2*7m*(-4k)

=49m²+9n²+16k²+(-42mn)+24nk+(-56mk)

= 49m²+9n²+16k²-42mn+24nk-56mk.