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Answer:
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ur answer is in images,so please go through the images
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EXPLANATION.
(1) = Simplify combining like terms.
(a) = 21b - 32 + 7b - 20b.
As we know that,
⇒ 21b + 7b - 20b - 32.
⇒ 8b - 32.
⇒ 8(b - 4).
(b) = - z² + 13z² - 5z + 7z³ - 15z.
As we know that,
⇒ 7z³ + 13z² - z² - 15z - 5z.
⇒ 7z³ + 12z² - 20z.
⇒ z(7z² + 12z - 20).
(c) = p - (p - q) - q - (q - p).
As we know that,
⇒ p - p + q - q - q + p.
⇒ p + p - p + q - q - q.
⇒ 2p - p + q - 2q.
⇒ p - q.
(D) = 3a - 2b - ab - (a - b + ab) + 3ab + b - a.
As we know that,
⇒ 3a - 2b - ab - a + b - ab + 3ab + b - a.
⇒ 3a - a - a + b + b - 2b - ab - ab + 3ab.
⇒ 3a - 2a + 2b - 2b - 2ab + 3ab.
⇒ a + ab.
(E) = 5x²y - 5x² + 3yx² - 3y² + x² - y² + 8xy² - 3y².
As we know that,
⇒ - 5x² + x² - 3y² - 3y² - y² + 5x²y + 3yx² + 8xy².
⇒ - 4x² - 7y² + 5x²y + 3yx² + 8xy².
(F) = (3y² + 5y - 4) - (8y - y² - 4).
As we know that,
⇒ 3y² + 5y - 4 - 8y + y² + 4.
⇒ 3y² + y² - 8y + 5y + 4 - 4.
⇒ 4y² - 3y.
(2) = Add.
(1) = 3mn, - 5mn, 8mn, - 4mn.
As we know that,
⇒ 3mn + (-5mn) + (8mn) + (-4mn).
⇒ 3mn - 5mn + 8mn - 4mn.
⇒ 3mn + 8mn - 5mn - 4mn.
⇒ 11mn - 9mn.
⇒ 2mn.
(2) = t - 8tz, 3tz - z, z - t.
As we know that,
⇒ (t - 8tz) + (3tz - z) + (z - t).
⇒ t - 8tz + 3tz - z + z - t.
⇒ t - t - z + z - 8tz + 3tz.
⇒ - 5tz.
(3) = - 7mn + 5, 12mn + 2, 9mn - 8, - 2mn - 3.
As we know that,
⇒ (- 7mn + 5) + (12mn + 2) + (9mn - 8) + (- 2mn - 3).
⇒ - 7mn + 5 + 12mn + 2 + 9mn - 8 - 2mn - 3.
⇒ 12mn + 9mn - 7mn - 2mn + 5 + 2 - 3.
⇒ 21mn - 9mn + 7 - 3.
⇒ 12mn + 4.
(4) = a + b - 3, b - a + 3, a + b + 3.
As we know that,
⇒ (a + b - 3) + (b - a + 3) + (a + b + 3).
⇒ a + b - 3 + b - a + 3 + a + b + 3.
⇒ a + a - a + b + b + b + 3 + 3 - 3.
⇒ 2a - a + 3b + 6.
⇒ a + 3b + 6.
(5) = 14x + 10y - 12xy - 13, 18 - 7x - 10y + 8xy.
As we know that,
⇒ (14x + 10y - 12xy - 13) + (18 - 7x - 10y + 8xy).
⇒ 14x + 10y - 12xy - 13 + 18 - 7x - 10y + 8xy.
⇒ 14x - 7x + 10y - 10y - 12xy + 8xy + 18 - 13.
⇒ 7x - 4xy + 5.
(6) = 5m - 7n, 3n - 4m + 2, 2m - 3mn - 5.
As we know that,
⇒ (5m - 7n) + (3n - 4m + 2) + (2m - 3mn - 5).
⇒ 5m - 7n + 3n - 4m + 2 + 2m - 3mn - 5.
⇒ 5m + 2m - 4m - 7n + 3n - 3mn - 5 + 2.
⇒ 7m - 4m - 7n + 3n - 3mn - 3.
⇒ 3m - 4n - 3mn - 3.
(7) = 4x²y, - 3xy², - 5xy², 5x²y.
As we know that,
⇒ (4x²y) + (-3xy²) + (-5xy²) + (5x²y).
⇒ 4x²y - 3xy² - 5xy² + 5x²y.
⇒ 4x²y + 5x²y - 3xy² - 5xy².
⇒ 9x²y - 8xy².