Answer: See below
Explanation:
8a^3+b^3+12a^2b+6ab^2
= (8a^3+b^3) + (12a^2b+6ab^2)
= (2a+b)(4a^2+2ab+b^2)+6ab(2a+b)
= (2a+b)(4a^2+2ab+b^2)+6ab
= (2a+b)(4a^2 + 2ab+b^2+6ab)
= (2a+b)(4a^2+8ab+b^2)
Answer:
y= -2x+3
Step-by-step explanation:
The equation of a line is written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Given that the slope is -2, m= -2.
Y-intercept is at 3 so c=3.
Thus, the equation of the line is y= -2x +3
Answer:
i
Step-by-step explanation:
o
Answer:
m∠SRV = 48°
Step-by-step explanation:
In the parallelogram attached,
m∠TUV = 78°
m∠TVU = 54°
By applying the property of the angles of a triangle in ΔTVU,
m∠TUV + m∠TVU + m∠UTV = 180°
78° + 54° + m∠UTV = 180°
m∠UTV = 180° - 132°
= 48°
Sides RS and TU are the parallel sides of the parallelogram and diagonal TR is a transverse.
Therefore, ∠UTV ≅ ∠SRV [Alternate interior angles]
m∠UTV = m∠SRV = 48°