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We have several important laws to follow when multiplying:
EXAMPLE: Find the following products:
The FOIL Method
When we have the product of two binomials, the above procedure tells us
1.) Multiply the First terms: 2a and 3a to obtain 6a2 .
2.) Multiply the Outer terms: 2a and 5 to obtain 10a
3.) Multiply the Inner terms: −4 and 3a to obtain −12a
4.) Multiply the Last terms: −4 and 5 to obtain −20
Then simplify the resulting polynomial if possible:
The product of the sum and difference of two terms:
To multiply one polynomial by another, multiply each term of one polynomial
by each term of the other polynomial.
A square picture is surrounded by a frame that uniformly
measures 2 inches
wide. If the area of the
frame is 48 square inches, find the dimensions of the picture.
(Hint: The area of the whole thing equals the area of the
picture plus the
area of the frame.)