LESSON 1

LESSON 1SPECIAL PRODUCTS

Look at the pictures below and identify patterns on each picture.

97 X 103 =25 X 25 =99 X 99 X 99 =

97X103 = (100-3)(100+3) = 1002 32 = 10000 9 = 999125X25 = (20 + 5)(20 + 5) = 202 + 2(20)(5) + 52 = 400 + 200 + 25 = 625

99X99X99 = (100-1)3= 1003 + 3(100)2(-1)2+(-1)3= 10000000-30000+300-3= 970 299

Answer key

GROUP 1

GROUP 2

GROUP 3

GROUP 4

Answer key

Observe the following examples:(x-3)2 = x2-3x-3x+32 = x2-2(3x)+9 = x2-6x+9(x+5)2 = x2+5x+5x+52 = x2+2(5x)+25 = x2+10x+25(3x+4y)2= (3x)2+12xy+12xy+(4y)2= 9x2 + 2(12xy) + 16y2= 9x2 + 24xy + 16y2

PRODUCT RULE:(am)(an) = am+nRAISING A POWER TO A POWER:(am)n = amn

ANSWER KEY

REMEMBER:

ANSWER KEY LETS PRACTICE2

ANSWERS ACTIVITY11

ALWAYS REMEMBER THATMATH IS EASYYOU WILL PASSYOU WILL GET PERFECT

BELIEVE THIS AND ALWAYS PUT THIS IN YOUR MIND SO THAT THE UNIVERSE WILL CONIVE WITH YOUGOD BLESS US ALL

TOGETHER LETS READ IT ALOUDMATH IS EASY

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