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In Math / Junior High School | 2025-07-02

Add/subtract the following 1. 14mn + 7mn² − (3mn + 2mn²) 2. 3x²yz² − xyz + (5x²yz² + 3xyz) 3. 10a + 15b - (8a+ 3b) 4. 5x² - 4xy + (2x² - 2xy) 5.-12ab3 + 23ab3 - 25ab3 - 11ab³​

Asked by purasojohnclifford

Answer (1)

Step-by-step explanation:Expression step by step: 1. 14mn + 7mn² − (3mn + 2mn²)Distribute the minus sign:= 14mn + 7mn² − 3mn − 2mn²Group like terms:= (14mn − 3mn) + (7mn² − 2mn²)= 11mn + 5mn² 2. 3x²yz² − xyz + (5x²yz² + 3xyz)Remove parentheses:= 3x²yz² − xyz + 5x²yz² + 3xyzGroup like terms:= (3x²yz² + 5x²yz²) + (−xyz + 3xyz)= 8x²yz² + 2xyz 3. 10a + 15b - (8a + 3b)Distribute the minus sign:= 10a + 15b − 8a − 3bGroup like terms:= (10a − 8a) + (15b − 3b)= 2a + 12b 4. 5x² − 4xy + (2x² − 2xy)Remove parentheses:= 5x² − 4xy + 2x² − 2xyGroup like terms:= (5x² + 2x²) + (−4xy − 2xy)= 7x² − 6xy 5. −12ab³ + 23ab³ − 25ab³ − 11ab³Group all like terms (all are ab³):= (−12 + 23 − 25 − 11)ab³= (−25)ab³ Final answers:1. 11mn + 5mn²2. 8x²yz² + 2xyz3. 2a + 12b4. 7x² − 6xy5. −25ab³

Answered by romnickpallon | 2025-07-02