A (A-3) + (2-A) (2 + a) is equal to? Simplification

A (A-3) + (2-A) (2 + a) is equal to? Simplification

4-3a

How much is the reduction of [√ 3-1] 2 - [√ 3-1] [√ 3 + 2]

=(√3)²-2√3+1-(3+2√3-√3-2)
=3-2√3+1-1-√3
=3-3√3

Find a symmetric axis equation of y = sin (x / 2 + Pie / 6) + sin (x / 2-pie / 3)

Y = sin (x / 2 + π / 6) + sin (x / 2 - π / 3) = sin (x / 2 - π / 3 + π / 2) + sin (x / 2 - π / 3) = cos (x / 2 - π / 3) + sin (x / 2 - π / 3) = √ 2Sin (x / 2 - π / 3 + π / 4)

If the axis of symmetry equation of the function f (x) = sin (x + π / 3) - asin (x - π / 6 is x = π / 2, then a=

f(x)=sin(x+π/3)-asin(x-π/6)
=sin(x+π/3)-asin[(x+π/3)-π/2]
=sin(x+π/3)+acos(x+π/3),
Because one axis of symmetry equation of function image is x = π / 2,
So f (π / 2) = √ (1 + A ^ 2) or - √ (1 + A ^ 2),
That is, 1 / 2 - √ 3 / 2 * a = √ (1 + A ^ 2) or 1 / 2 - √ 3 / 2 * a = - √ (1 + A ^ 2),
The solution is a = - 3

It is known that a symmetric axis equation of F (x) = sin (2x + φ) is x = π / 3, φ∈ [- π / 2, π / 2]
(1) Finding the value of φ
(2) Write out the equation of symmetry center and axis of F (x)

(1) X = π / 3, the function has the maximum sin (2 π / 3 + φ) = ± 1 φ = - π / 6 (2) f (x) = sin (2x - π / 6) axis of symmetry; 2x - π / 6 = k π + π / 2 x = k π / 2 + π / 3 K ∈ Z center of symmetry; 2x - π / 6 = k π x = k π / 2 + π / 12 center of symmetry

On the equation x2 + 4xsina + atana = 0 of X, there are two equal real roots. 1. Find the value range of a, (2) when a = 7 / 4, find sin (PAI / 4 + a)

(1) The discriminant = 16 (Sina) ^ 2-4atana = 0, then Sina = 0 or 16sina-4a / cosa = 0, so 16sinacosa-4a = 0
So 8sin2a = 4A, sin2a = A / 2, because - 1

The second power of [A-B] × the fourth power of [A-B] - the third power of [B-A] × the third power of [A-B]

( a - b)^2 ×(a - b)^4 - ( b - a)^3 ×(a - b)^3= ( a - b)^2 ×(a -b)^4 - [-(a -b)]^3×(a - b)^3= (a - b)^2 ×(a - b)^4 + ( a - b)^3 ×(a - b)^3= (a - b)^6 + ( a - b)^6= 2(a - b）^6

(- a 3-th power, B 4-th power) 2-th power ÷ (AB 2-th power) 3-th power

A to the third power B to the second power

What is the common point between the cubic power * B of the algebraic formula 3a, the cubic power * C of the algebraic formula 3a and the cubic power * B of the algebraic formula a?

What they have in common is power

The m-5 power solution of [(a + b) 2n power]

M-5 power of [(a + b) 2n power]
=2n (m-5) power of (a + b)
=(2mn-10n) power of (a + b)