Question

Find the square using distributive property.
(a) 13
(b) 17 (c) 25 (d) 84
(e) 64
(f) 63
(g) 71 (h) 103​

Answer 1

Answer:

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Answer 2

Answer:

(a) 13² = 169

(b) 17² = 289

(c) 25² = 625

(d) 84² = 7056

(e) 64² = 4096

(f) 63² = 3969

(g) 71² = 5041

(h) 103² = 16009

Step-by-step explanation:

• Distributive property means to express an expression A(B + C) in the following way- (AB + BC).
• Squaring by using distributive property:

(a) 13² = 13 × 13 = 13 × (10 + 3) =(13 × 10) + (13 × 3)

                                                = 130 + 39 = 169

(b) 17² = 17 × 17 = 17 × (10 + 7) =(17 × 10) + (17 × 7)

                                                = 170 + 119 = 289

(c) 25² = 25 × 25 = 25 × (20 + 5) =(25 × 20) + (25 × 5)

                                                     = 500 + 125 = 625

(d) 84² = 84 × 84 = 84 × (80 + 4) =(84 × 80) + (84 × 4)

                                                    = 6720 + 336 = 7056

(e) 64² = 64 × 64 = 64 × (60 + 4) =(64 × 60) + (64 × 4)

                                                    = 3840 + 256 = 4096

(f) 63² = 63 × 63 = 63 × (60 + 3) =(63 × 60) + (63 × 3)

                                                    = 3780 + 189 = 3969

(g) 71² = 71 × 71 = 71 × (70 + 1) =(71 × 70) + (71 × 1)

                                                = 4970 + 71 = 5041

(h) 103² = 103 × 103 = (100 + 3) × (100 + 3)

                                =(100 × 100) + (3 × 3) + (100 × 3) + (100 × 3)

                                = 10000 + 9 + 300 + 300 = 16009

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