Question

M(m+2)•(m-2)-(m-3)•(m^2+3m+9) при m=1/4

Answer 1

Ответ: 28

Объяснение:M(m+2)•(m-2)-(m-3)•(m^2+3m+9)=m(m^2-4)-(m^3-27)=(M^3-4m)-(m^3+27)=m^3-4m-m^3+27=-4m+27. Если m=1/4, то -4m+27= -4(1/4)+27=-4/4+27=1+27=28

Answer 2

To evaluate the expression M(m+2)•(m-2)-(m-3)•(m^2+3m+9) when m = 1/4, we first need to substitute the value of m into the expression and then perform the calculations step by step.

Let's start by substituting m = 1/4 into the expression:

M(m+2)•(m-2) - (m-3)•(m^2+3m+9)

Now, replace m with 1/4:

M(1/4 + 2) • (1/4 - 2) - (1/4 - 3) • (1/4^2 + 3(1/4) + 9)

Now, simplify each term:

M(9/4) • (-7/4) - (-11/4) • (1/16 + 3/4 + 9)

Next, continue simplifying:

(-63/16)M - (-11/4) • (1/16 + 3/4 + 9)

Now, add the terms inside the second parentheses:

(-63/16)M - (-11/4) • (1/16 + 12/16 + 144/16)

Combine the terms inside the second parentheses:

(-63/16)M - (-11/4) • (157/16)

Now, distribute -11/4:

(-63/16)M + (11/4) • (157/16)

Now, multiply (11/4) • (157/16):

(-63/16)M + (11 * 157)/(4 * 16)

Simplify the multiplication:

(-63/16)M + (173/16)

Now the expression is in simplified form.

Therefore, the expression M(m+2)•(m-2)-(m-3)•(m^2+3m+9) evaluated at m = 1/4 is given by:

(-63/16)M + (173/16)

Please note that the value of M is not specified, so the expression cannot be further simplified without knowing the value of M.