Find The Products Of The Following Using The Identity A B 2 To solve this, we need to use the following identities: (a b) 2 = a 2 2ab b 2 (a − b) 2 = a 2 − 2ab b 2. here, a = 7x and b = 4y. substituting the values, we get, (7x 4y) 2 (7x 4y) 2 = (49x 2 56xy 16y 2) (49x 2 − 56xy 16y 2) = 98x 2 32y 2. therefore, (7x 4y) 2 (7x 4y) 2 = 98x 2 32y 2. The identity (a b) 2 = a 2 2ab b 2 is verified by cutting and pasting of paper. this identity can be verified geometrically by taking other values of a and b. divide a square plot into four parts (quadrilaterals) such that two parts have same area and other two are squares. viva voce. question 1. what is the degree of polynomial x 2 4x 2?.
Find The Products Of The Following Using The Identity A B 2 Factorise the following, using the identity a² 2ab b² = (a b)². (i) x² 6x 9, (ii) x² 12x 36, (iii) x² 14x 49, (iv) x² 2x 1, (v) 4x² 4x 1, (vi) a²x² . solution: (i) x² 6x 9. given, x² 6x 9. using the identity a² 2ab b² = (a b)², the expression can be written as, = (x)² 2 (x) (3) (3)². = (x 3)². To express the number 1102 using the polynomial identity (a b) 2 = a 2 2 ab b 2, we start by identifying suitable values for a and b. let a = 10 and b = 100. these choices are useful because they help create a perfect square for 110. using these values, we calculate: a 2 2 ab b 2 = 1 0 2 2 × 10 × 100 10 0 2 = 100 2000 10000. To find the value of 1102 using the polynomial identity (a b)2 = a2 2ab b2, we can express 110 as the sum of two convenient numbers. we can let the smaller value a = 100 (option c) and the larger value b = 10 (option a). Draw two parallel lines at a distance of 2.2 cm apart. draw the top, the front and the side views of the following solid figure made up of cubes. in fig. prove that two triangles are congruent? the ratio of fatima’s income to her savings is 4 : 1.find the percentage of money saved by her.
Find The Products Using The Identity A B A B A 2 B 2 To find the value of 1102 using the polynomial identity (a b)2 = a2 2ab b2, we can express 110 as the sum of two convenient numbers. we can let the smaller value a = 100 (option c) and the larger value b = 10 (option a). Draw two parallel lines at a distance of 2.2 cm apart. draw the top, the front and the side views of the following solid figure made up of cubes. in fig. prove that two triangles are congruent? the ratio of fatima’s income to her savings is 4 : 1.find the percentage of money saved by her. The a square minus b square is used to find the difference between the two squares without actually calculating the squares. it is one of the algebraic identities. it is used to factorize the binomials of squares. what is a^2 b^2 formula? the a2 b2 formula is given as: a2 b2 = (a b) (a b). In this way, algebraic identities are used in computing algebraic expressions and resolving different polynomials. (a b)²=a² 2ab b². a (a b) b (a b) given: the algebraic identity (a b)²=a² 2ab b². find: verify the algebraic identity (a b)²=a² 2ab b². solution: (a b)². => (a b) (a b) => a (a b) b (a b) => a² ab ab b². => a² 2ab b². Find the product of the following using the identity: (a b)2 =a2 2ab b2. write each of the following polynomials in the standard form. also, write their degree. x2 3 6 x 5 x4. draw the front view, side view and top view of the given objects. ipplication 9. Take suitable number of cards given in the adjoining diagram [g(x × x) representing x 2, r(x × 1) representing x and y(1 × 1) representing 1] to factorise the following expressions, by arranging the cards in the form of rectangles:.
Using The Identity A B 2 A2 2ab B2 Find The Following Products Filo The a square minus b square is used to find the difference between the two squares without actually calculating the squares. it is one of the algebraic identities. it is used to factorize the binomials of squares. what is a^2 b^2 formula? the a2 b2 formula is given as: a2 b2 = (a b) (a b). In this way, algebraic identities are used in computing algebraic expressions and resolving different polynomials. (a b)²=a² 2ab b². a (a b) b (a b) given: the algebraic identity (a b)²=a² 2ab b². find: verify the algebraic identity (a b)²=a² 2ab b². solution: (a b)². => (a b) (a b) => a (a b) b (a b) => a² ab ab b². => a² 2ab b². Find the product of the following using the identity: (a b)2 =a2 2ab b2. write each of the following polynomials in the standard form. also, write their degree. x2 3 6 x 5 x4. draw the front view, side view and top view of the given objects. ipplication 9. Take suitable number of cards given in the adjoining diagram [g(x × x) representing x 2, r(x × 1) representing x and y(1 × 1) representing 1] to factorise the following expressions, by arranging the cards in the form of rectangles:.