Factorise: 9x² − 25y²:
A(3x − 5y)(3x + 5y)
B(3x − 5y)²
C(9x − 25y)(x + y)
D(3x + 5y)²
Answer & Solution
Correct answer: A. (3x − 5y)(3x + 5y)
9x² = (3x)², 25y² = (5y)².
**So 9x² − 25y² = (3x)² − (5y)² = (3x − 5y)(3x + 5y) by the difference-of-squares identity.**
Keep practising Unit 3A: Chain Rule and Composite Functions
Browse all Unit 3A: Chain Rule and Composite Functions questions for AP Calculus AB, or explore more Mathematics topics.
Related questions
In which quadrant is sin θ positive and cos θ negative?If tan θ + cot θ = 2, find sin 2θ:General solution of sin θ = sin α:In triangle with sides 7, 8, 9, find cos of the angle opposite to side 9 (use cosine rule)If sin θ = 12/13 (acute), find tan(θ/2):General solution of cos θ = 0:If sin θ + cos θ = 1, then sin θ × cos θ equals:In triangle ABC with sides a, b, c opposite to angles A, B, C: sine rule states: