Factorize the following polynomials . (y+2)(y-3)(y+8)(y+3)+56.
Answers
Answer:
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Answer:
Step-by-step explanation:
Simplifying
(y + 2)(y + -3)(y + 8)(y + 3) + 56
Reorder the terms:
(2 + y)(y + -3)(y + 8)(y + 3) + 56
Reorder the terms:
(2 + y)(-3 + y)(y + 8)(y + 3) + 56
Reorder the terms:
(2 + y)(-3 + y)(8 + y)(y + 3) + 56
Reorder the terms:
(2 + y)(-3 + y)(8 + y)(3 + y) + 56
Multiply (2 + y) * (-3 + y)
(2(-3 + y) + y(-3 + y))(8 + y)(3 + y) + 56
((-3 * 2 + y * 2) + y(-3 + y))(8 + y)(3 + y) + 56
((-6 + 2y) + y(-3 + y))(8 + y)(3 + y) + 56
(-6 + 2y + (-3 * y + y * y))(8 + y)(3 + y) + 56
(-6 + 2y + (-3y + y2))(8 + y)(3 + y) + 56
Combine like terms: 2y + -3y = -1y
(-6 + -1y + y2)(8 + y)(3 + y) + 56
Multiply (-6 + -1y + y2) * (8 + y)
(-6(8 + y) + -1y * (8 + y) + y2(8 + y))(3 + y) + 56
((8 * -6 + y * -6) + -1y * (8 + y) + y2(8 + y))(3 + y) + 56
((-48 + -6y) + -1y * (8 + y) + y2(8 + y))(3 + y) + 56
(-48 + -6y + (8 * -1y + y * -1y) + y2(8 + y))(3 + y) + 56
(-48 + -6y + (-8y + -1y2) + y2(8 + y))(3 + y) + 56
(-48 + -6y + -8y + -1y2 + (8 * y2 + y * y2))(3 + y) + 56
(-48 + -6y + -8y + -1y2 + (8y2 + y3))(3 + y) + 56
Combine like terms: -6y + -8y = -14y
(-48 + -14y + -1y2 + 8y2 + y3)(3 + y) + 56
Combine like terms: -1y2 + 8y2 = 7y2
(-48 + -14y + 7y2 + y3)(3 + y) + 56
Multiply (-48 + -14y + 7y2 + y3) * (3 + y)
(-48(3 + y) + -14y * (3 + y) + 7y2 * (3 + y) + y3(3 + y)) + 56
((3 * -48 + y * -48) + -14y * (3 + y) + 7y2 * (3 + y) + y3(3 + y)) + 56
((-144 + -48y) + -14y * (3 + y) + 7y2 * (3 + y) + y3(3 + y)) + 56
(-144 + -48y + (3 * -14y + y * -14y) + 7y2 * (3 + y) + y3(3 + y)) + 56
(-144 + -48y + (-42y + -14y2) + 7y2 * (3 + y) + y3(3 + y)) + 56
(-144 + -48y + -42y + -14y2 + (3 * 7y2 + y * 7y2) + y3(3 + y)) + 56
(-144 + -48y + -42y + -14y2 + (21y2 + 7y3) + y3(3 + y)) + 56
(-144 + -48y + -42y + -14y2 + 21y2 + 7y3 + (3 * y3 + y * y3)) + 56
(-144 + -48y + -42y + -14y2 + 21y2 + 7y3 + (3y3 + y4)) + 56
Combine like terms: -48y + -42y = -90y
(-144 + -90y + -14y2 + 21y2 + 7y3 + 3y3 + y4) + 56
Combine like terms: -14y2 + 21y2 = 7y2
(-144 + -90y + 7y2 + 7y3 + 3y3 + y4) + 56
Combine like terms: 7y3 + 3y3 = 10y3
(-144 + -90y + 7y2 + 10y3 + y4) + 56
Reorder the terms:
-144 + 56 + -90y + 7y2 + 10y3 + y4
Combine like terms: -144 + 56 = -88
-88 + -90y + 7y2 + 10y3 + y4
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