The equivalent expression of (q² − r²s) (q⁴ + q²r²s + r⁴s²) is q⁶ - r⁶s³
<h3>How to factor the expression?</h3>
The expression is given as:
(q² − r²s) (q⁴ + q²r²s + r⁴s²)
Expand the expression
(q² − r²s) (q⁴ + q²r²s + r⁴s²) = q²(q⁴ + q²r²s + r⁴s²) − r²s(q⁴ + q²r²s + r⁴s²)
Open the brackets
(q² − r²s) (q⁴ + q²r²s + r⁴s²) = q⁶ + q⁴r²s + q²r⁴s² -q⁴r²s - q²r⁴s² - r⁶s³
Evaluate the like terms
(q² − r²s) (q⁴ + q²r²s + r⁴s²) = q⁶ - r⁶s³
Hence, the equivalent expression of (q² − r²s) (q⁴ + q²r²s + r⁴s²) is q⁶ - r⁶s³
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<h3>Complete question</h3>
Factor the expression. (q² − r²s) (q⁴ + q²r²s + r⁴s²)
Answer:
Answer: An equations is a number, a variable, or a combination of numbers and variables and operational symbols. An equation is made up of two expressions connected by an equal sign.
Example Expression: 8x+5y-3x-5
Example Equation: 5x-4=x
Step-by-step explanation:
-158 is the smaller/lesser number out of the two
Triangle ABC:
m∠A = x° (m∠A is represented by x°)
m∠B = (4x)° (m∠B is 4 times greater than m∠A, you know m∠A is x°, so it is (4x)°)
m∠C = (5x - 30)° (m∠C is 30° less than five times m∠A, so it is (5x - 30)°)
A triangle is 180°, so the angles in the triangle should add up to 180°
The second option is FALSE, so everything else is true
The slope of this line is
-5 - 3 -8
m = ----------- = ----------
4-(-1) 5
Then use the point-slope format to find the equation of this line.
y-3 = (-8/5)(x-(-1)), or y - 3 = (-8/5)( x + 1) (answer)
This could be re-written in other forms, such as the slope-intercept form.
