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6 votes
6 votes
Expand and simplify with steps please

Expand and simplify with steps please-example-1
User Erbsenkoenig
by
2.6k points

2 Answers

27 votes
27 votes

Answer:

36x^2 - 49y^2

Explanation:

(6x + 7y)(6x-7y)

= (6x × 6x) + (6x × -7y) + ( 7y × 6x) + ( 7y × -7y)

 = 36x^2 - 42xy + 42xy - 49y^2

= 36x^2 - 49y^2

User Colin Cornaby
by
2.5k points
22 votes
22 votes

By identity,

(6x + 7y)(6x - 7y) = 36x² - 49y²

step - by - step multiplication,

  • (6x + 7y)(6x - 7y)

  • (6x × 6x) - (6x × 7y) + (7y × 6x) + (7y × - 7y)

  • 36x² - 42xy + 42 xy - 49 y²

  • 36x² - 49y²
User Sheikh Rahat Ali
by
3.1k points