(2a-5b)(2a+5b)(4a^2+25b^2)
Answers
Answer:
Simplifying
y = (2a + 5b)(2a + -5b)(a + b)
Multiply (2a + 5b) * (2a + -5b)
y = (2a * (2a + -5b) + 5b * (2a + -5b))(a + b)
y = ((2a * 2a + -5b * 2a) + 5b * (2a + -5b))(a + b)
Reorder the terms:
y = ((-10ab + 4a2) + 5b * (2a + -5b))(a + b)
y = ((-10ab + 4a2) + 5b * (2a + -5b))(a + b)
y = (-10ab + 4a2 + (2a * 5b + -5b * 5b))(a + b)
y = (-10ab + 4a2 + (10ab + -25b2))(a + b)
Reorder the terms:
y = (-10ab + 10ab + 4a2 + -25b2)(a + b)
Combine like terms: -10ab + 10ab = 0
y = (0 + 4a2 + -25b2)(a + b)
y = (4a2 + -25b2)(a + b)
Multiply (4a2 + -25b2) * (a + b)
y = (4a2 * (a + b) + -25b2 * (a + b))
y = ((a * 4a2 + b * 4a2) + -25b2 * (a + b))
Reorder the terms:
y = ((4a2b + 4a3) + -25b2 * (a + b))
y = ((4a2b + 4a3) + -25b2 * (a + b))
y = (4a2b + 4a3 + (a * -25b2 + b * -25b2))
y = (4a2b + 4a3 + (-25ab2 + -25b3))
Reorder the terms:
y = (-25ab2 + 4a2b + 4a3 + -25b3)
y = (-25ab2 + 4a2b + 4a3 + -25b3)
Solving
y = -25ab2 + 4a2b + 4a3 + -25b3
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = -25ab2 + 4a2b + 4a3 + -25b3
Answer:
(2a^2 - 5b^2)(4a^2+25b^2)