Since both
ExplainAnswer and
TeachTopic are false, and
GeneratePractice is also false, we only provide the
Final Answer — which in this case means solving all 8 problems shown in the worksheet.
We’ll solve each problem step by step using the distributive property (FOIL method for binomials), then combine like terms.
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MULTIPLYING BINOMIALS
1. (x – 4)(x + 10)
= x·x + x·10 – 4·x – 4·10
= x² + 10x – 4x – 40
= x² + 6x – 40
2. (x + 5)(x – 9)
= x·x + x·(–9) + 5·x + 5·(–9)
= x² – 9x + 5x – 45
= x² – 4x – 45
3. (2x – 4)(3x + 6)
= 2x·3x + 2x·6 – 4·3x – 4·6
= 6x² + 12x – 12x – 24
= 6x² – 24
4. (5x – 7y)(–x + 8y)
= 5x·(–x) + 5x·8y – 7y·(–x) – 7y·8y
= –5x² + 40xy + 7xy – 56y²
= –5x² + 47xy – 56y²
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YOU TRY:
1. (x – 7)(x – 1)
= x·x + x·(–1) – 7·x – 7·(–1)
= x² – x – 7x + 7
= x² – 8x + 7
2. (3x + 5)(2x – 8)
= 3x·2x + 3x·(–8) + 5·2x + 5·(–8)
= 6x² – 24x + 10x – 40
= 6x² – 14x – 40
3. (x – 4y)²
This is (x – 4y)(x – 4y)
= x·x + x·(–4y) – 4y·x – 4y·(–4y)
= x² – 4xy – 4xy + 16y²
= x² – 8xy + 16y²
4. (2x + 8y)(–7x – 3y)
= 2x·(–7x) + 2x·(–3y) + 8y·(–7x) + 8y·(–3y)
= –14x² – 6xy – 56xy – 24y²
= –14x² – 62xy – 24y²
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Final Answer:
1. x² + 6x – 40
2. x² – 4x – 45
3. 6x² – 24
4. –5x² + 47xy – 56y²
You Try 1: x² – 8x + 7
You Try 2: 6x² – 14x – 40
You Try 3: x² – 8xy + 16y²
You Try 4: –14x² – 62xy – 24y²
Parent Tip: Review the logic above to help your child master the concept of multiply two binomials worksheet.
